What is the Least Common Multiple of 61044 and 61052?

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 61044 and 61052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61044 and 61052, than apply into the LCM equation.

GCF(61044,61052) = 4
LCM(61044,61052) = ( 61044 × 61052) / 4
LCM(61044,61052) = 3726858288 / 4
LCM(61044,61052) = 931714572

Least Common Multiple (LCM) of 61044 and 61052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61044 and 61052. First we will calculate the prime factors of 61044 and 61052.

Prime Factorization of 61044

Prime Factorization of 61052

Now multiplying the highest exponent prime factors to calculate the LCM of 61044 and 61052.

LCM(61044,61052) = 2² × 3¹ × 5087¹ × 15263¹
LCM(61044,61052) = 931714572