What is the Least Common Multiple of 51642 and 51648?

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 51642 and 51648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51642 and 51648, than apply into the LCM equation.

GCF(51642,51648) = 6
LCM(51642,51648) = ( 51642 × 51648) / 6
LCM(51642,51648) = 2667206016 / 6
LCM(51642,51648) = 444534336

Least Common Multiple (LCM) of 51642 and 51648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51642 and 51648. First we will calculate the prime factors of 51642 and 51648.

Prime Factorization of 51642

Prime Factorization of 51648

Now multiplying the highest exponent prime factors to calculate the LCM of 51642 and 51648.

LCM(51642,51648) = 2⁶ × 3² × 19¹ × 151¹ × 269¹
LCM(51642,51648) = 444534336