What is the Least Common Multiple of 52176 and 52196?

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 52176 and 52196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52176 and 52196, than apply into the LCM equation.

GCF(52176,52196) = 4
LCM(52176,52196) = ( 52176 × 52196) / 4
LCM(52176,52196) = 2723378496 / 4
LCM(52176,52196) = 680844624

Least Common Multiple (LCM) of 52176 and 52196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52176 and 52196. First we will calculate the prime factors of 52176 and 52196.

Prime Factorization of 52176

Prime Factorization of 52196

Now multiplying the highest exponent prime factors to calculate the LCM of 52176 and 52196.

LCM(52176,52196) = 2⁴ × 3¹ × 1087¹ × 13049¹
LCM(52176,52196) = 680844624