What is the Least Common Multiple of 61028 and 61047?

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 61028 and 61047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61028 and 61047, than apply into the LCM equation.

GCF(61028,61047) = 19
LCM(61028,61047) = ( 61028 × 61047) / 19
LCM(61028,61047) = 3725576316 / 19
LCM(61028,61047) = 196082964

Least Common Multiple (LCM) of 61028 and 61047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61028 and 61047. First we will calculate the prime factors of 61028 and 61047.

Prime Factorization of 61028

Prime Factorization of 61047

Now multiplying the highest exponent prime factors to calculate the LCM of 61028 and 61047.

LCM(61028,61047) = 2² × 11¹ × 19¹ × 73¹ × 3³ × 7¹ × 17¹
LCM(61028,61047) = 196082964