What is the Least Common Multiple of 92180 and 92188?

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 92180 and 92188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92180 and 92188, than apply into the LCM equation.

GCF(92180,92188) = 4
LCM(92180,92188) = ( 92180 × 92188) / 4
LCM(92180,92188) = 8497889840 / 4
LCM(92180,92188) = 2124472460

Least Common Multiple (LCM) of 92180 and 92188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92180 and 92188. First we will calculate the prime factors of 92180 and 92188.

Prime Factorization of 92180

Prime Factorization of 92188

Now multiplying the highest exponent prime factors to calculate the LCM of 92180 and 92188.

LCM(92180,92188) = 2² × 5¹ × 11¹ × 419¹ × 19¹ × 1213¹
LCM(92180,92188) = 2124472460