What is the Least Common Multiple of 92170 and 92175?

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 92170 and 92175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92170 and 92175, than apply into the LCM equation.

GCF(92170,92175) = 5
LCM(92170,92175) = ( 92170 × 92175) / 5
LCM(92170,92175) = 8495769750 / 5
LCM(92170,92175) = 1699153950

Least Common Multiple (LCM) of 92170 and 92175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92170 and 92175. First we will calculate the prime factors of 92170 and 92175.

Prime Factorization of 92170

Prime Factorization of 92175

Now multiplying the highest exponent prime factors to calculate the LCM of 92170 and 92175.

LCM(92170,92175) = 2¹ × 5² × 13¹ × 709¹ × 3¹ × 1229¹
LCM(92170,92175) = 1699153950