What is the Least Common Multiple of 61204 and 61212?

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 61204 and 61212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61204 and 61212, than apply into the LCM equation.

GCF(61204,61212) = 4
LCM(61204,61212) = ( 61204 × 61212) / 4
LCM(61204,61212) = 3746419248 / 4
LCM(61204,61212) = 936604812

Least Common Multiple (LCM) of 61204 and 61212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61204 and 61212. First we will calculate the prime factors of 61204 and 61212.

Prime Factorization of 61204

Prime Factorization of 61212

Now multiplying the highest exponent prime factors to calculate the LCM of 61204 and 61212.

LCM(61204,61212) = 2² × 11¹ × 13¹ × 107¹ × 3¹ × 5101¹
LCM(61204,61212) = 936604812