What is the Least Common Multiple of 51156 and 51172?

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 51156 and 51172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51156 and 51172, than apply into the LCM equation.

GCF(51156,51172) = 4
LCM(51156,51172) = ( 51156 × 51172) / 4
LCM(51156,51172) = 2617754832 / 4
LCM(51156,51172) = 654438708

Least Common Multiple (LCM) of 51156 and 51172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51156 and 51172. First we will calculate the prime factors of 51156 and 51172.

Prime Factorization of 51156

Prime Factorization of 51172

Now multiplying the highest exponent prime factors to calculate the LCM of 51156 and 51172.

LCM(51156,51172) = 2² × 3² × 7² × 29¹ × 11¹ × 1163¹
LCM(51156,51172) = 654438708