What is the Least Common Multiple of 59400 and 59416?

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 59416 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 59416, than apply into the LCM equation.

GCF(59400,59416) = 8
LCM(59400,59416) = ( 59400 × 59416) / 8
LCM(59400,59416) = 3529310400 / 8
LCM(59400,59416) = 441163800

Least Common Multiple (LCM) of 59400 and 59416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59400 and 59416. First we will calculate the prime factors of 59400 and 59416.

Prime Factorization of 59400

Prime Factorization of 59416

Now multiplying the highest exponent prime factors to calculate the LCM of 59400 and 59416.

LCM(59400,59416) = 2³ × 3³ × 5² × 11¹ × 7¹ × 1061¹
LCM(59400,59416) = 441163800