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What is the Least Common Multiple of 64775 and 64788?

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 (LCM) of 64775 and 64788 is 4196642700.

LCM(64775,64788) = 4196642700

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Least Common Multiple of 64775 and 64788 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 64788, than apply into the LCM equation.

GCF(64775,64788) = 1
LCM(64775,64788) = ( 64775 × 64788) / 1
LCM(64775,64788) = 4196642700 / 1
LCM(64775,64788) = 4196642700

Least Common Multiple (LCM) of 64775 and 64788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64775 and 64788. First we will calculate the prime factors of 64775 and 64788.

Prime Factorization of 64775

Prime factors of 64775 are 5, 2591. Prime factorization of 64775 in exponential form is:

64775 = 52 × 25911

Prime Factorization of 64788

Prime factors of 64788 are 2, 3, 5399. Prime factorization of 64788 in exponential form is:

64788 = 22 × 31 × 53991

Now multiplying the highest exponent prime factors to calculate the LCM of 64775 and 64788.

LCM(64775,64788) = 52 × 25911 × 22 × 31 × 53991
LCM(64775,64788) = 4196642700