What is the Least Common Multiple of 54696 and 54716?

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 54696 and 54716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54696 and 54716, than apply into the LCM equation.

GCF(54696,54716) = 4
LCM(54696,54716) = ( 54696 × 54716) / 4
LCM(54696,54716) = 2992746336 / 4
LCM(54696,54716) = 748186584

Least Common Multiple (LCM) of 54696 and 54716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54696 and 54716. First we will calculate the prime factors of 54696 and 54716.

Prime Factorization of 54696

Prime Factorization of 54716

Now multiplying the highest exponent prime factors to calculate the LCM of 54696 and 54716.

LCM(54696,54716) = 2³ × 3¹ × 43¹ × 53¹ × 13679¹
LCM(54696,54716) = 748186584