What is the Least Common Multiple of 30456 and 30469?

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 30469 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 30469, than apply into the LCM equation.

GCF(30456,30469) = 1
LCM(30456,30469) = ( 30456 × 30469) / 1
LCM(30456,30469) = 927963864 / 1
LCM(30456,30469) = 927963864

Least Common Multiple (LCM) of 30456 and 30469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30456 and 30469. First we will calculate the prime factors of 30456 and 30469.

Prime Factorization of 30456

Prime Factorization of 30469

Now multiplying the highest exponent prime factors to calculate the LCM of 30456 and 30469.

LCM(30456,30469) = 2³ × 3⁴ × 47¹ × 30469¹
LCM(30456,30469) = 927963864