What is the Least Common Multiple of 64124 and 64138?

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 64138 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 64138, than apply into the LCM equation.

GCF(64124,64138) = 2
LCM(64124,64138) = ( 64124 × 64138) / 2
LCM(64124,64138) = 4112785112 / 2
LCM(64124,64138) = 2056392556

Least Common Multiple (LCM) of 64124 and 64138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64124 and 64138. First we will calculate the prime factors of 64124 and 64138.

Prime Factorization of 64124

Prime Factorization of 64138

Now multiplying the highest exponent prime factors to calculate the LCM of 64124 and 64138.

LCM(64124,64138) = 2² × 17¹ × 23¹ × 41¹ × 32069¹
LCM(64124,64138) = 2056392556