What is the Least Common Multiple of 93428 and 93446?

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 93428 and 93446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93428 and 93446, than apply into the LCM equation.

GCF(93428,93446) = 2
LCM(93428,93446) = ( 93428 × 93446) / 2
LCM(93428,93446) = 8730472888 / 2
LCM(93428,93446) = 4365236444

Least Common Multiple (LCM) of 93428 and 93446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93428 and 93446. First we will calculate the prime factors of 93428 and 93446.

Prime Factorization of 93428

Prime Factorization of 93446

Now multiplying the highest exponent prime factors to calculate the LCM of 93428 and 93446.

LCM(93428,93446) = 2² × 23357¹ × 46723¹
LCM(93428,93446) = 4365236444