What is the Least Common Multiple of 30432 and 30446?

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 30432 and 30446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30432 and 30446, than apply into the LCM equation.

GCF(30432,30446) = 2
LCM(30432,30446) = ( 30432 × 30446) / 2
LCM(30432,30446) = 926532672 / 2
LCM(30432,30446) = 463266336

Least Common Multiple (LCM) of 30432 and 30446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30432 and 30446. First we will calculate the prime factors of 30432 and 30446.

Prime Factorization of 30432

Prime Factorization of 30446

Now multiplying the highest exponent prime factors to calculate the LCM of 30432 and 30446.

LCM(30432,30446) = 2⁵ × 3¹ × 317¹ × 13¹ × 1171¹
LCM(30432,30446) = 463266336