What is the Least Common Multiple of 61474 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 61474 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 61474 and 61494, than apply into the LCM equation.

GCF(61474,61494) = 2
LCM(61474,61494) = ( 61474 × 61494) / 2
LCM(61474,61494) = 3780282156 / 2
LCM(61474,61494) = 1890141078

Least Common Multiple (LCM) of 61474 and 61494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61474 and 61494. First we will calculate the prime factors of 61474 and 61494.

Prime Factorization of 61474

Prime Factorization of 61494

Now multiplying the highest exponent prime factors to calculate the LCM of 61474 and 61494.

LCM(61474,61494) = 2¹ × 7¹ × 4391¹ × 3¹ × 37¹ × 277¹
LCM(61474,61494) = 1890141078