What is the Least Common Multiple of 59544 and 59550?

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 59544 and 59550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59544 and 59550, than apply into the LCM equation.

GCF(59544,59550) = 6
LCM(59544,59550) = ( 59544 × 59550) / 6
LCM(59544,59550) = 3545845200 / 6
LCM(59544,59550) = 590974200

Least Common Multiple (LCM) of 59544 and 59550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59544 and 59550. First we will calculate the prime factors of 59544 and 59550.

Prime Factorization of 59544

Prime Factorization of 59550

Now multiplying the highest exponent prime factors to calculate the LCM of 59544 and 59550.

LCM(59544,59550) = 2³ × 3² × 827¹ × 5² × 397¹
LCM(59544,59550) = 590974200