What is the Least Common Multiple of 52197 and 52216?

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 52197 and 52216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52197 and 52216, than apply into the LCM equation.

GCF(52197,52216) = 1
LCM(52197,52216) = ( 52197 × 52216) / 1
LCM(52197,52216) = 2725518552 / 1
LCM(52197,52216) = 2725518552

Least Common Multiple (LCM) of 52197 and 52216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52197 and 52216. First we will calculate the prime factors of 52197 and 52216.

Prime Factorization of 52197

Prime Factorization of 52216

Now multiplying the highest exponent prime factors to calculate the LCM of 52197 and 52216.

LCM(52197,52216) = 3¹ × 127¹ × 137¹ × 2³ × 61¹ × 107¹
LCM(52197,52216) = 2725518552