What is the Least Common Multiple of 92149 and 92157?

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 92149 and 92157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92149 and 92157, than apply into the LCM equation.

GCF(92149,92157) = 1
LCM(92149,92157) = ( 92149 × 92157) / 1
LCM(92149,92157) = 8492175393 / 1
LCM(92149,92157) = 8492175393

Least Common Multiple (LCM) of 92149 and 92157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92149 and 92157. First we will calculate the prime factors of 92149 and 92157.

Prime Factorization of 92149

Prime Factorization of 92157

Now multiplying the highest exponent prime factors to calculate the LCM of 92149 and 92157.

LCM(92149,92157) = 43¹ × 2143¹ × 3¹ × 13¹ × 17¹ × 139¹
LCM(92149,92157) = 8492175393