What is the Least Common Multiple of 51534 and 51548?

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 51534 and 51548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51534 and 51548, than apply into the LCM equation.

GCF(51534,51548) = 14
LCM(51534,51548) = ( 51534 × 51548) / 14
LCM(51534,51548) = 2656474632 / 14
LCM(51534,51548) = 189748188

Least Common Multiple (LCM) of 51534 and 51548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51534 and 51548. First we will calculate the prime factors of 51534 and 51548.

Prime Factorization of 51534

Prime Factorization of 51548

Now multiplying the highest exponent prime factors to calculate the LCM of 51534 and 51548.

LCM(51534,51548) = 2² × 3² × 7² × 409¹ × 263¹
LCM(51534,51548) = 189748188