What is the Least Common Multiple of 54714 and 54728?

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 54714 and 54728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54714 and 54728, than apply into the LCM equation.

GCF(54714,54728) = 2
LCM(54714,54728) = ( 54714 × 54728) / 2
LCM(54714,54728) = 2994387792 / 2
LCM(54714,54728) = 1497193896

Least Common Multiple (LCM) of 54714 and 54728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54714 and 54728. First we will calculate the prime factors of 54714 and 54728.

Prime Factorization of 54714

Prime Factorization of 54728

Now multiplying the highest exponent prime factors to calculate the LCM of 54714 and 54728.

LCM(54714,54728) = 2³ × 3¹ × 11¹ × 829¹ × 6841¹
LCM(54714,54728) = 1497193896