What is the Least Common Multiple of 54536 and 54556?

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 54536 and 54556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54536 and 54556, than apply into the LCM equation.

GCF(54536,54556) = 4
LCM(54536,54556) = ( 54536 × 54556) / 4
LCM(54536,54556) = 2975266016 / 4
LCM(54536,54556) = 743816504

Least Common Multiple (LCM) of 54536 and 54556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54536 and 54556. First we will calculate the prime factors of 54536 and 54556.

Prime Factorization of 54536

Prime Factorization of 54556

Now multiplying the highest exponent prime factors to calculate the LCM of 54536 and 54556.

LCM(54536,54556) = 2³ × 17¹ × 401¹ × 23¹ × 593¹
LCM(54536,54556) = 743816504