What is the Least Common Multiple of 52152 and 52172?

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 52152 and 52172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52152 and 52172, than apply into the LCM equation.

GCF(52152,52172) = 4
LCM(52152,52172) = ( 52152 × 52172) / 4
LCM(52152,52172) = 2720874144 / 4
LCM(52152,52172) = 680218536

Least Common Multiple (LCM) of 52152 and 52172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52152 and 52172. First we will calculate the prime factors of 52152 and 52172.

Prime Factorization of 52152

Prime Factorization of 52172

Now multiplying the highest exponent prime factors to calculate the LCM of 52152 and 52172.

LCM(52152,52172) = 2³ × 3¹ × 41¹ × 53¹ × 13043¹
LCM(52152,52172) = 680218536