What is the Least Common Multiple of 59484 and 59496?

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 59484 and 59496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59484 and 59496, than apply into the LCM equation.

GCF(59484,59496) = 12
LCM(59484,59496) = ( 59484 × 59496) / 12
LCM(59484,59496) = 3539060064 / 12
LCM(59484,59496) = 294921672

Least Common Multiple (LCM) of 59484 and 59496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59484 and 59496. First we will calculate the prime factors of 59484 and 59496.

Prime Factorization of 59484

Prime Factorization of 59496

Now multiplying the highest exponent prime factors to calculate the LCM of 59484 and 59496.

LCM(59484,59496) = 2³ × 3¹ × 4957¹ × 37¹ × 67¹
LCM(59484,59496) = 294921672