What is the Least Common Multiple of 51654 and 51663?

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 51654 and 51663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51654 and 51663, than apply into the LCM equation.

GCF(51654,51663) = 3
LCM(51654,51663) = ( 51654 × 51663) / 3
LCM(51654,51663) = 2668600602 / 3
LCM(51654,51663) = 889533534

Least Common Multiple (LCM) of 51654 and 51663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51654 and 51663. First we will calculate the prime factors of 51654 and 51663.

Prime Factorization of 51654

Prime Factorization of 51663

Now multiplying the highest exponent prime factors to calculate the LCM of 51654 and 51663.

LCM(51654,51663) = 2¹ × 3¹ × 8609¹ × 17¹ × 1013¹
LCM(51654,51663) = 889533534