What is the Least Common Multiple of 92352 and 92358?

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 92352 and 92358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92352 and 92358, than apply into the LCM equation.

GCF(92352,92358) = 6
LCM(92352,92358) = ( 92352 × 92358) / 6
LCM(92352,92358) = 8529446016 / 6
LCM(92352,92358) = 1421574336

Least Common Multiple (LCM) of 92352 and 92358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92352 and 92358. First we will calculate the prime factors of 92352 and 92358.

Prime Factorization of 92352

Prime Factorization of 92358

Now multiplying the highest exponent prime factors to calculate the LCM of 92352 and 92358.

LCM(92352,92358) = 2⁶ × 3² × 13¹ × 37¹ × 7¹ × 733¹
LCM(92352,92358) = 1421574336