What is the Least Common Multiple of 54475 and 54483?

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 54475 and 54483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54475 and 54483, than apply into the LCM equation.

GCF(54475,54483) = 1
LCM(54475,54483) = ( 54475 × 54483) / 1
LCM(54475,54483) = 2967961425 / 1
LCM(54475,54483) = 2967961425

Least Common Multiple (LCM) of 54475 and 54483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54475 and 54483. First we will calculate the prime factors of 54475 and 54483.

Prime Factorization of 54475

Prime Factorization of 54483

Now multiplying the highest exponent prime factors to calculate the LCM of 54475 and 54483.

LCM(54475,54483) = 5² × 2179¹ × 3¹ × 11¹ × 13¹ × 127¹
LCM(54475,54483) = 2967961425