What is the Least Common Multiple of 86125 and 86131?

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 86125 and 86131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86125 and 86131, than apply into the LCM equation.

GCF(86125,86131) = 1
LCM(86125,86131) = ( 86125 × 86131) / 1
LCM(86125,86131) = 7418032375 / 1
LCM(86125,86131) = 7418032375

Least Common Multiple (LCM) of 86125 and 86131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86125 and 86131. First we will calculate the prime factors of 86125 and 86131.

Prime Factorization of 86125

Prime Factorization of 86131

Now multiplying the highest exponent prime factors to calculate the LCM of 86125 and 86131.

LCM(86125,86131) = 5³ × 13¹ × 53¹ × 86131¹
LCM(86125,86131) = 7418032375