What is the Least Common Multiple of 59400 and 59412?

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 59400 and 59412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59400 and 59412, than apply into the LCM equation.

GCF(59400,59412) = 12
LCM(59400,59412) = ( 59400 × 59412) / 12
LCM(59400,59412) = 3529072800 / 12
LCM(59400,59412) = 294089400

Least Common Multiple (LCM) of 59400 and 59412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59400 and 59412. First we will calculate the prime factors of 59400 and 59412.

Prime Factorization of 59400

Prime Factorization of 59412

Now multiplying the highest exponent prime factors to calculate the LCM of 59400 and 59412.

LCM(59400,59412) = 2³ × 3³ × 5² × 11¹ × 4951¹
LCM(59400,59412) = 294089400