What is the Least Common Multiple of 54496 and 54509?

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 54509 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 54509, than apply into the LCM equation.

GCF(54496,54509) = 13
LCM(54496,54509) = ( 54496 × 54509) / 13
LCM(54496,54509) = 2970522464 / 13
LCM(54496,54509) = 228501728

Least Common Multiple (LCM) of 54496 and 54509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54496 and 54509. First we will calculate the prime factors of 54496 and 54509.

Prime Factorization of 54496

Prime Factorization of 54509

Now multiplying the highest exponent prime factors to calculate the LCM of 54496 and 54509.

LCM(54496,54509) = 2⁵ × 13¹ × 131¹ × 7¹ × 599¹
LCM(54496,54509) = 228501728