What is the Least Common Multiple of 20610 and 20618?

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 20610 and 20618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20610 and 20618, than apply into the LCM equation.

GCF(20610,20618) = 2
LCM(20610,20618) = ( 20610 × 20618) / 2
LCM(20610,20618) = 424936980 / 2
LCM(20610,20618) = 212468490

Least Common Multiple (LCM) of 20610 and 20618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20610 and 20618. First we will calculate the prime factors of 20610 and 20618.

Prime Factorization of 20610

Prime Factorization of 20618

Now multiplying the highest exponent prime factors to calculate the LCM of 20610 and 20618.

LCM(20610,20618) = 2¹ × 3² × 5¹ × 229¹ × 13² × 61¹
LCM(20610,20618) = 212468490