What is the Least Common Multiple of 61008 and 61020?

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 61008 and 61020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61008 and 61020, than apply into the LCM equation.

GCF(61008,61020) = 12
LCM(61008,61020) = ( 61008 × 61020) / 12
LCM(61008,61020) = 3722708160 / 12
LCM(61008,61020) = 310225680

Least Common Multiple (LCM) of 61008 and 61020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61008 and 61020. First we will calculate the prime factors of 61008 and 61020.

Prime Factorization of 61008

Prime Factorization of 61020

Now multiplying the highest exponent prime factors to calculate the LCM of 61008 and 61020.

LCM(61008,61020) = 2⁴ × 3³ × 31¹ × 41¹ × 5¹ × 113¹
LCM(61008,61020) = 310225680