What is the Least Common Multiple of 92115 and 92131?

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 92115 and 92131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92115 and 92131, than apply into the LCM equation.

GCF(92115,92131) = 1
LCM(92115,92131) = ( 92115 × 92131) / 1
LCM(92115,92131) = 8486647065 / 1
LCM(92115,92131) = 8486647065

Least Common Multiple (LCM) of 92115 and 92131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92115 and 92131. First we will calculate the prime factors of 92115 and 92131.

Prime Factorization of 92115

Prime Factorization of 92131

Now multiplying the highest exponent prime factors to calculate the LCM of 92115 and 92131.

LCM(92115,92131) = 3² × 5¹ × 23¹ × 89¹ × 13¹ × 19¹ × 373¹
LCM(92115,92131) = 8486647065