What is the Least Common Multiple of 92188 and 92207?

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 92188 and 92207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92188 and 92207, than apply into the LCM equation.

GCF(92188,92207) = 19
LCM(92188,92207) = ( 92188 × 92207) / 19
LCM(92188,92207) = 8500378916 / 19
LCM(92188,92207) = 447388364

Least Common Multiple (LCM) of 92188 and 92207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92188 and 92207. First we will calculate the prime factors of 92188 and 92207.

Prime Factorization of 92188

Prime Factorization of 92207

Now multiplying the highest exponent prime factors to calculate the LCM of 92188 and 92207.

LCM(92188,92207) = 2² × 19¹ × 1213¹ × 23¹ × 211¹
LCM(92188,92207) = 447388364