What is the Least Common Multiple of 92148 and 92166?

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 92148 and 92166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92148 and 92166, than apply into the LCM equation.

GCF(92148,92166) = 6
LCM(92148,92166) = ( 92148 × 92166) / 6
LCM(92148,92166) = 8492912568 / 6
LCM(92148,92166) = 1415485428

Least Common Multiple (LCM) of 92148 and 92166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92148 and 92166. First we will calculate the prime factors of 92148 and 92166.

Prime Factorization of 92148

Prime Factorization of 92166

Now multiplying the highest exponent prime factors to calculate the LCM of 92148 and 92166.

LCM(92148,92166) = 2² × 3¹ × 7¹ × 1097¹ × 15361¹
LCM(92148,92166) = 1415485428