What is the Least Common Multiple of 59496 and 59516?

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 59496 and 59516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59496 and 59516, than apply into the LCM equation.

GCF(59496,59516) = 4
LCM(59496,59516) = ( 59496 × 59516) / 4
LCM(59496,59516) = 3540963936 / 4
LCM(59496,59516) = 885240984

Least Common Multiple (LCM) of 59496 and 59516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59496 and 59516. First we will calculate the prime factors of 59496 and 59516.

Prime Factorization of 59496

Prime Factorization of 59516

Now multiplying the highest exponent prime factors to calculate the LCM of 59496 and 59516.

LCM(59496,59516) = 2³ × 3¹ × 37¹ × 67¹ × 14879¹
LCM(59496,59516) = 885240984