What is the Least Common Multiple of 86120 and 86125?

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 86120 and 86125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86120 and 86125, than apply into the LCM equation.

GCF(86120,86125) = 5
LCM(86120,86125) = ( 86120 × 86125) / 5
LCM(86120,86125) = 7417085000 / 5
LCM(86120,86125) = 1483417000

Least Common Multiple (LCM) of 86120 and 86125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86120 and 86125. First we will calculate the prime factors of 86120 and 86125.

Prime Factorization of 86120

Prime Factorization of 86125

Now multiplying the highest exponent prime factors to calculate the LCM of 86120 and 86125.

LCM(86120,86125) = 2³ × 5³ × 2153¹ × 13¹ × 53¹
LCM(86120,86125) = 1483417000