What is the Least Common Multiple of 51548 and 51564?

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 51548 and 51564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51548 and 51564, than apply into the LCM equation.

GCF(51548,51564) = 4
LCM(51548,51564) = ( 51548 × 51564) / 4
LCM(51548,51564) = 2658021072 / 4
LCM(51548,51564) = 664505268

Least Common Multiple (LCM) of 51548 and 51564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51548 and 51564. First we will calculate the prime factors of 51548 and 51564.

Prime Factorization of 51548

Prime Factorization of 51564

Now multiplying the highest exponent prime factors to calculate the LCM of 51548 and 51564.

LCM(51548,51564) = 2² × 7² × 263¹ × 3¹ × 4297¹
LCM(51548,51564) = 664505268