What is the Least Common Multiple of 86875 and 86892?

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 86875 and 86892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86875 and 86892, than apply into the LCM equation.

GCF(86875,86892) = 1
LCM(86875,86892) = ( 86875 × 86892) / 1
LCM(86875,86892) = 7548742500 / 1
LCM(86875,86892) = 7548742500

Least Common Multiple (LCM) of 86875 and 86892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86875 and 86892. First we will calculate the prime factors of 86875 and 86892.

Prime Factorization of 86875

Prime Factorization of 86892

Now multiplying the highest exponent prime factors to calculate the LCM of 86875 and 86892.

LCM(86875,86892) = 5⁴ × 139¹ × 2² × 3¹ × 13¹ × 557¹
LCM(86875,86892) = 7548742500