What is the Least Common Multiple of 64120 and 64135?

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 64120 and 64135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64120 and 64135, than apply into the LCM equation.

GCF(64120,64135) = 5
LCM(64120,64135) = ( 64120 × 64135) / 5
LCM(64120,64135) = 4112336200 / 5
LCM(64120,64135) = 822467240

Least Common Multiple (LCM) of 64120 and 64135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64120 and 64135. First we will calculate the prime factors of 64120 and 64135.

Prime Factorization of 64120

Prime Factorization of 64135

Now multiplying the highest exponent prime factors to calculate the LCM of 64120 and 64135.

LCM(64120,64135) = 2³ × 5¹ × 7¹ × 229¹ × 101¹ × 127¹
LCM(64120,64135) = 822467240