What is the Least Common Multiple of 54468 and 54480?

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 54468 and 54480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54468 and 54480, than apply into the LCM equation.

GCF(54468,54480) = 12
LCM(54468,54480) = ( 54468 × 54480) / 12
LCM(54468,54480) = 2967416640 / 12
LCM(54468,54480) = 247284720

Least Common Multiple (LCM) of 54468 and 54480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54468 and 54480. First we will calculate the prime factors of 54468 and 54480.

Prime Factorization of 54468

Prime Factorization of 54480

Now multiplying the highest exponent prime factors to calculate the LCM of 54468 and 54480.

LCM(54468,54480) = 2⁴ × 3² × 17¹ × 89¹ × 5¹ × 227¹
LCM(54468,54480) = 247284720