What is the Least Common Multiple of 64124 and 64136?

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 64124 and 64136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64124 and 64136, than apply into the LCM equation.

GCF(64124,64136) = 4
LCM(64124,64136) = ( 64124 × 64136) / 4
LCM(64124,64136) = 4112656864 / 4
LCM(64124,64136) = 1028164216

Least Common Multiple (LCM) of 64124 and 64136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64124 and 64136. First we will calculate the prime factors of 64124 and 64136.

Prime Factorization of 64124

Prime Factorization of 64136

Now multiplying the highest exponent prime factors to calculate the LCM of 64124 and 64136.

LCM(64124,64136) = 2³ × 17¹ × 23¹ × 41¹ × 8017¹
LCM(64124,64136) = 1028164216