What is the Least Common Multiple of 94352 and 94358?

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 94352 and 94358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94352 and 94358, than apply into the LCM equation.

GCF(94352,94358) = 2
LCM(94352,94358) = ( 94352 × 94358) / 2
LCM(94352,94358) = 8902866016 / 2
LCM(94352,94358) = 4451433008

Least Common Multiple (LCM) of 94352 and 94358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94352 and 94358. First we will calculate the prime factors of 94352 and 94358.

Prime Factorization of 94352

Prime Factorization of 94358

Now multiplying the highest exponent prime factors to calculate the LCM of 94352 and 94358.

LCM(94352,94358) = 2⁴ × 5897¹ × 11¹ × 4289¹
LCM(94352,94358) = 4451433008