What is the Least Common Multiple of 30456 and 30471?

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 30471 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 30471, than apply into the LCM equation.

GCF(30456,30471) = 3
LCM(30456,30471) = ( 30456 × 30471) / 3
LCM(30456,30471) = 928024776 / 3
LCM(30456,30471) = 309341592

Least Common Multiple (LCM) of 30456 and 30471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30456 and 30471. First we will calculate the prime factors of 30456 and 30471.

Prime Factorization of 30456

Prime Factorization of 30471

Now multiplying the highest exponent prime factors to calculate the LCM of 30456 and 30471.

LCM(30456,30471) = 2³ × 3⁴ × 47¹ × 7¹ × 1451¹
LCM(30456,30471) = 309341592