What is the Least Common Multiple of 92120 and 92125?

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 92120 and 92125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92120 and 92125, than apply into the LCM equation.

GCF(92120,92125) = 5
LCM(92120,92125) = ( 92120 × 92125) / 5
LCM(92120,92125) = 8486555000 / 5
LCM(92120,92125) = 1697311000

Least Common Multiple (LCM) of 92120 and 92125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92120 and 92125. First we will calculate the prime factors of 92120 and 92125.

Prime Factorization of 92120

Prime Factorization of 92125

Now multiplying the highest exponent prime factors to calculate the LCM of 92120 and 92125.

LCM(92120,92125) = 2³ × 5³ × 7² × 47¹ × 11¹ × 67¹
LCM(92120,92125) = 1697311000