What is the Least Common Multiple of 51638 and 51654?

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 51638 and 51654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51638 and 51654, than apply into the LCM equation.

GCF(51638,51654) = 2
LCM(51638,51654) = ( 51638 × 51654) / 2
LCM(51638,51654) = 2667309252 / 2
LCM(51638,51654) = 1333654626

Least Common Multiple (LCM) of 51638 and 51654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51638 and 51654. First we will calculate the prime factors of 51638 and 51654.

Prime Factorization of 51638

Prime Factorization of 51654

Now multiplying the highest exponent prime factors to calculate the LCM of 51638 and 51654.

LCM(51638,51654) = 2¹ × 25819¹ × 3¹ × 8609¹
LCM(51638,51654) = 1333654626