What is the Least Common Multiple of 54792 and 54811?

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 54792 and 54811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54792 and 54811, than apply into the LCM equation.

GCF(54792,54811) = 1
LCM(54792,54811) = ( 54792 × 54811) / 1
LCM(54792,54811) = 3003204312 / 1
LCM(54792,54811) = 3003204312

Least Common Multiple (LCM) of 54792 and 54811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54792 and 54811. First we will calculate the prime factors of 54792 and 54811.

Prime Factorization of 54792

Prime Factorization of 54811

Now multiplying the highest exponent prime factors to calculate the LCM of 54792 and 54811.

LCM(54792,54811) = 2³ × 3² × 761¹ × 59¹ × 929¹
LCM(54792,54811) = 3003204312