What is the Least Common Multiple of 56475 and 56483?

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 56475 and 56483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56475 and 56483, than apply into the LCM equation.

GCF(56475,56483) = 1
LCM(56475,56483) = ( 56475 × 56483) / 1
LCM(56475,56483) = 3189877425 / 1
LCM(56475,56483) = 3189877425

Least Common Multiple (LCM) of 56475 and 56483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56475 and 56483. First we will calculate the prime factors of 56475 and 56483.

Prime Factorization of 56475

Prime Factorization of 56483

Now multiplying the highest exponent prime factors to calculate the LCM of 56475 and 56483.

LCM(56475,56483) = 3² × 5² × 251¹ × 7¹ × 8069¹
LCM(56475,56483) = 3189877425