What is the Least Common Multiple of 64775 and 64791?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 64775 and 64791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64775 and 64791, than apply into the LCM equation.

GCF(64775,64791) = 1
LCM(64775,64791) = ( 64775 × 64791) / 1
LCM(64775,64791) = 4196837025 / 1
LCM(64775,64791) = 4196837025

Least Common Multiple (LCM) of 64775 and 64791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64775 and 64791. First we will calculate the prime factors of 64775 and 64791.

Prime Factorization of 64775

Prime Factorization of 64791

Now multiplying the highest exponent prime factors to calculate the LCM of 64775 and 64791.

LCM(64775,64791) = 5² × 2591¹ × 3² × 23¹ × 313¹
LCM(64775,64791) = 4196837025