What is the Least Common Multiple of 64109 and 64120?

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 64109 and 64120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64109 and 64120, than apply into the LCM equation.

GCF(64109,64120) = 1
LCM(64109,64120) = ( 64109 × 64120) / 1
LCM(64109,64120) = 4110669080 / 1
LCM(64109,64120) = 4110669080

Least Common Multiple (LCM) of 64109 and 64120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64109 and 64120. First we will calculate the prime factors of 64109 and 64120.

Prime Factorization of 64109

Prime Factorization of 64120

Now multiplying the highest exponent prime factors to calculate the LCM of 64109 and 64120.

LCM(64109,64120) = 64109¹ × 2³ × 5¹ × 7¹ × 229¹
LCM(64109,64120) = 4110669080