What is the Least Common Multiple of 63156 and 63172?

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 63156 and 63172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63156 and 63172, than apply into the LCM equation.

GCF(63156,63172) = 4
LCM(63156,63172) = ( 63156 × 63172) / 4
LCM(63156,63172) = 3989690832 / 4
LCM(63156,63172) = 997422708

Least Common Multiple (LCM) of 63156 and 63172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63156 and 63172. First we will calculate the prime factors of 63156 and 63172.

Prime Factorization of 63156

Prime Factorization of 63172

Now multiplying the highest exponent prime factors to calculate the LCM of 63156 and 63172.

LCM(63156,63172) = 2² × 3¹ × 19¹ × 277¹ × 17¹ × 929¹
LCM(63156,63172) = 997422708