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According to the Russian Visa Application Centre in Singapore:
Applicants are advised to apply in advance but not earlier then 90 days prior to the date of travel. The Embassy recommends that you apply at least 3 weeks prior to your date of travel to accommodate any unforeseen processing delays.
I couldn't find the relevant details for Kazakhstan but here is the link for the Kazakh embassy in Singapore:
Be aware that as an Indian national you will need an invitation letter from the Ministry of Internal Affairs of Kazakhstan.