What is the Least Common Multiple of 92358 and 92364?

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 92358 and 92364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92358 and 92364, than apply into the LCM equation.

GCF(92358,92364) = 6
LCM(92358,92364) = ( 92358 × 92364) / 6
LCM(92358,92364) = 8530554312 / 6
LCM(92358,92364) = 1421759052

Least Common Multiple (LCM) of 92358 and 92364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92358 and 92364. First we will calculate the prime factors of 92358 and 92364.

Prime Factorization of 92358

Prime Factorization of 92364

Now multiplying the highest exponent prime factors to calculate the LCM of 92358 and 92364.

LCM(92358,92364) = 2² × 3² × 7¹ × 733¹ × 43¹ × 179¹
LCM(92358,92364) = 1421759052