What is the Least Common Multiple of 92140 and 92155?

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 92140 and 92155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92140 and 92155, than apply into the LCM equation.

GCF(92140,92155) = 5
LCM(92140,92155) = ( 92140 × 92155) / 5
LCM(92140,92155) = 8491161700 / 5
LCM(92140,92155) = 1698232340

Least Common Multiple (LCM) of 92140 and 92155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92140 and 92155. First we will calculate the prime factors of 92140 and 92155.

Prime Factorization of 92140

Prime Factorization of 92155

Now multiplying the highest exponent prime factors to calculate the LCM of 92140 and 92155.

LCM(92140,92155) = 2² × 5¹ × 17¹ × 271¹ × 7¹ × 2633¹
LCM(92140,92155) = 1698232340