What is the Least Common Multiple of 30456 and 30475?

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 30456 and 30475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30456 and 30475, than apply into the LCM equation.

GCF(30456,30475) = 1
LCM(30456,30475) = ( 30456 × 30475) / 1
LCM(30456,30475) = 928146600 / 1
LCM(30456,30475) = 928146600

Least Common Multiple (LCM) of 30456 and 30475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30456 and 30475. First we will calculate the prime factors of 30456 and 30475.

Prime Factorization of 30456

Prime Factorization of 30475

Now multiplying the highest exponent prime factors to calculate the LCM of 30456 and 30475.

LCM(30456,30475) = 2³ × 3⁴ × 47¹ × 5² × 23¹ × 53¹
LCM(30456,30475) = 928146600