What is the Least Common Multiple of 54548 and 54564?

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 54548 and 54564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54548 and 54564, than apply into the LCM equation.

GCF(54548,54564) = 4
LCM(54548,54564) = ( 54548 × 54564) / 4
LCM(54548,54564) = 2976357072 / 4
LCM(54548,54564) = 744089268

Least Common Multiple (LCM) of 54548 and 54564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54548 and 54564. First we will calculate the prime factors of 54548 and 54564.

Prime Factorization of 54548

Prime Factorization of 54564

Now multiplying the highest exponent prime factors to calculate the LCM of 54548 and 54564.

LCM(54548,54564) = 2² × 13¹ × 1049¹ × 3¹ × 4547¹
LCM(54548,54564) = 744089268