What is the Least Common Multiple of 64620 and 64635?

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 64620 and 64635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64620 and 64635, than apply into the LCM equation.

GCF(64620,64635) = 15
LCM(64620,64635) = ( 64620 × 64635) / 15
LCM(64620,64635) = 4176713700 / 15
LCM(64620,64635) = 278447580

Least Common Multiple (LCM) of 64620 and 64635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64620 and 64635. First we will calculate the prime factors of 64620 and 64635.

Prime Factorization of 64620

Prime Factorization of 64635

Now multiplying the highest exponent prime factors to calculate the LCM of 64620 and 64635.

LCM(64620,64635) = 2² × 3² × 5¹ × 359¹ × 31¹ × 139¹
LCM(64620,64635) = 278447580