What is the Least Common Multiple of 30456 and 30460?

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 30460 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 30460, than apply into the LCM equation.

GCF(30456,30460) = 4
LCM(30456,30460) = ( 30456 × 30460) / 4
LCM(30456,30460) = 927689760 / 4
LCM(30456,30460) = 231922440

Least Common Multiple (LCM) of 30456 and 30460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30456 and 30460. First we will calculate the prime factors of 30456 and 30460.

Prime Factorization of 30456

Prime Factorization of 30460

Now multiplying the highest exponent prime factors to calculate the LCM of 30456 and 30460.

LCM(30456,30460) = 2³ × 3⁴ × 47¹ × 5¹ × 1523¹
LCM(30456,30460) = 231922440