What is the Least Common Multiple of 54496 and 54516?

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 54496 and 54516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54496 and 54516, than apply into the LCM equation.

GCF(54496,54516) = 4
LCM(54496,54516) = ( 54496 × 54516) / 4
LCM(54496,54516) = 2970903936 / 4
LCM(54496,54516) = 742725984

Least Common Multiple (LCM) of 54496 and 54516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54496 and 54516. First we will calculate the prime factors of 54496 and 54516.

Prime Factorization of 54496

Prime Factorization of 54516

Now multiplying the highest exponent prime factors to calculate the LCM of 54496 and 54516.

LCM(54496,54516) = 2⁵ × 13¹ × 131¹ × 3¹ × 7¹ × 11¹ × 59¹
LCM(54496,54516) = 742725984