What is the Least Common Multiple of 52156 and 52176?

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 52156 and 52176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52156 and 52176, than apply into the LCM equation.

GCF(52156,52176) = 4
LCM(52156,52176) = ( 52156 × 52176) / 4
LCM(52156,52176) = 2721291456 / 4
LCM(52156,52176) = 680322864

Least Common Multiple (LCM) of 52156 and 52176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52156 and 52176. First we will calculate the prime factors of 52156 and 52176.

Prime Factorization of 52156

Prime Factorization of 52176

Now multiplying the highest exponent prime factors to calculate the LCM of 52156 and 52176.

LCM(52156,52176) = 2⁴ × 13¹ × 17¹ × 59¹ × 3¹ × 1087¹
LCM(52156,52176) = 680322864