What is the Least Common Multiple of 75432 and 75446?

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 75432 and 75446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75432 and 75446, than apply into the LCM equation.

GCF(75432,75446) = 14
LCM(75432,75446) = ( 75432 × 75446) / 14
LCM(75432,75446) = 5691042672 / 14
LCM(75432,75446) = 406503048

Least Common Multiple (LCM) of 75432 and 75446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75432 and 75446. First we will calculate the prime factors of 75432 and 75446.

Prime Factorization of 75432

Prime Factorization of 75446

Now multiplying the highest exponent prime factors to calculate the LCM of 75432 and 75446.

LCM(75432,75446) = 2³ × 3¹ × 7¹ × 449¹ × 17¹ × 317¹
LCM(75432,75446) = 406503048