What is the Least Common Multiple of 61029 and 61044?

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 61029 and 61044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61029 and 61044, than apply into the LCM equation.

GCF(61029,61044) = 3
LCM(61029,61044) = ( 61029 × 61044) / 3
LCM(61029,61044) = 3725454276 / 3
LCM(61029,61044) = 1241818092

Least Common Multiple (LCM) of 61029 and 61044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61029 and 61044. First we will calculate the prime factors of 61029 and 61044.

Prime Factorization of 61029

Prime Factorization of 61044

Now multiplying the highest exponent prime factors to calculate the LCM of 61029 and 61044.

LCM(61029,61044) = 3² × 6781¹ × 2² × 5087¹
LCM(61029,61044) = 1241818092