What is the Least Common Multiple of 92365 and 92375?

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 92365 and 92375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92365 and 92375, than apply into the LCM equation.

GCF(92365,92375) = 5
LCM(92365,92375) = ( 92365 × 92375) / 5
LCM(92365,92375) = 8532216875 / 5
LCM(92365,92375) = 1706443375

Least Common Multiple (LCM) of 92365 and 92375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92365 and 92375. First we will calculate the prime factors of 92365 and 92375.

Prime Factorization of 92365

Prime Factorization of 92375

Now multiplying the highest exponent prime factors to calculate the LCM of 92365 and 92375.

LCM(92365,92375) = 5³ × 7² × 13¹ × 29¹ × 739¹
LCM(92365,92375) = 1706443375