What is the Least Common Multiple of 92129 and 92140?

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 92129 and 92140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92129 and 92140, than apply into the LCM equation.

GCF(92129,92140) = 1
LCM(92129,92140) = ( 92129 × 92140) / 1
LCM(92129,92140) = 8488766060 / 1
LCM(92129,92140) = 8488766060

Least Common Multiple (LCM) of 92129 and 92140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92129 and 92140. First we will calculate the prime factors of 92129 and 92140.

Prime Factorization of 92129

Prime Factorization of 92140

Now multiplying the highest exponent prime factors to calculate the LCM of 92129 and 92140.

LCM(92129,92140) = 181¹ × 509¹ × 2² × 5¹ × 17¹ × 271¹
LCM(92129,92140) = 8488766060