What is the Least Common Multiple of 64112 and 64124?

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 64112 and 64124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64112 and 64124, than apply into the LCM equation.

GCF(64112,64124) = 4
LCM(64112,64124) = ( 64112 × 64124) / 4
LCM(64112,64124) = 4111117888 / 4
LCM(64112,64124) = 1027779472

Least Common Multiple (LCM) of 64112 and 64124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64112 and 64124. First we will calculate the prime factors of 64112 and 64124.

Prime Factorization of 64112

Prime Factorization of 64124

Now multiplying the highest exponent prime factors to calculate the LCM of 64112 and 64124.

LCM(64112,64124) = 2⁴ × 4007¹ × 17¹ × 23¹ × 41¹
LCM(64112,64124) = 1027779472