What is the Least Common Multiple of 61488 and 61502?

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 61502 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 61502, than apply into the LCM equation.

GCF(61488,61502) = 14
LCM(61488,61502) = ( 61488 × 61502) / 14
LCM(61488,61502) = 3781634976 / 14
LCM(61488,61502) = 270116784

Least Common Multiple (LCM) of 61488 and 61502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61488 and 61502. First we will calculate the prime factors of 61488 and 61502.

Prime Factorization of 61488

Prime Factorization of 61502

Now multiplying the highest exponent prime factors to calculate the LCM of 61488 and 61502.

LCM(61488,61502) = 2⁴ × 3² × 7¹ × 61¹ × 23¹ × 191¹
LCM(61488,61502) = 270116784