What is the Least Common Multiple of 61488 and 61494?

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 61488 and 61494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61488 and 61494, than apply into the LCM equation.

GCF(61488,61494) = 6
LCM(61488,61494) = ( 61488 × 61494) / 6
LCM(61488,61494) = 3781143072 / 6
LCM(61488,61494) = 630190512

Least Common Multiple (LCM) of 61488 and 61494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61488 and 61494. First we will calculate the prime factors of 61488 and 61494.

Prime Factorization of 61488

Prime Factorization of 61494

Now multiplying the highest exponent prime factors to calculate the LCM of 61488 and 61494.

LCM(61488,61494) = 2⁴ × 3² × 7¹ × 61¹ × 37¹ × 277¹
LCM(61488,61494) = 630190512