What is the Least Common Multiple of 61038 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 61038 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 61038 and 61047, than apply into the LCM equation.

GCF(61038,61047) = 9
LCM(61038,61047) = ( 61038 × 61047) / 9
LCM(61038,61047) = 3726186786 / 9
LCM(61038,61047) = 414020754

Least Common Multiple (LCM) of 61038 and 61047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61038 and 61047. First we will calculate the prime factors of 61038 and 61047.

Prime Factorization of 61038

Prime Factorization of 61047

Now multiplying the highest exponent prime factors to calculate the LCM of 61038 and 61047.

LCM(61038,61047) = 2¹ × 3³ × 3391¹ × 7¹ × 17¹ × 19¹
LCM(61038,61047) = 414020754