What is the Least Common Multiple of 61020 and 61038?

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 61020 and 61038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61020 and 61038, than apply into the LCM equation.

GCF(61020,61038) = 18
LCM(61020,61038) = ( 61020 × 61038) / 18
LCM(61020,61038) = 3724538760 / 18
LCM(61020,61038) = 206918820

Least Common Multiple (LCM) of 61020 and 61038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61020 and 61038. First we will calculate the prime factors of 61020 and 61038.

Prime Factorization of 61020

Prime Factorization of 61038

Now multiplying the highest exponent prime factors to calculate the LCM of 61020 and 61038.

LCM(61020,61038) = 2² × 3³ × 5¹ × 113¹ × 3391¹
LCM(61020,61038) = 206918820