What is the Least Common Multiple of 61188 and 61204?

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 61188 and 61204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61188 and 61204, than apply into the LCM equation.

GCF(61188,61204) = 4
LCM(61188,61204) = ( 61188 × 61204) / 4
LCM(61188,61204) = 3744950352 / 4
LCM(61188,61204) = 936237588

Least Common Multiple (LCM) of 61188 and 61204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61188 and 61204. First we will calculate the prime factors of 61188 and 61204.

Prime Factorization of 61188

Prime Factorization of 61204

Now multiplying the highest exponent prime factors to calculate the LCM of 61188 and 61204.

LCM(61188,61204) = 2² × 3¹ × 5099¹ × 11¹ × 13¹ × 107¹
LCM(61188,61204) = 936237588