What is the Least Common Multiple of 56204 and 56212?

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 56204 and 56212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56204 and 56212, than apply into the LCM equation.

GCF(56204,56212) = 4
LCM(56204,56212) = ( 56204 × 56212) / 4
LCM(56204,56212) = 3159339248 / 4
LCM(56204,56212) = 789834812

Least Common Multiple (LCM) of 56204 and 56212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56204 and 56212. First we will calculate the prime factors of 56204 and 56212.

Prime Factorization of 56204

Prime Factorization of 56212

Now multiplying the highest exponent prime factors to calculate the LCM of 56204 and 56212.

LCM(56204,56212) = 2² × 14051¹ × 13¹ × 23¹ × 47¹
LCM(56204,56212) = 789834812