What is the Least Common Multiple of 86532 and 86541?

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 86532 and 86541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86532 and 86541, than apply into the LCM equation.

GCF(86532,86541) = 3
LCM(86532,86541) = ( 86532 × 86541) / 3
LCM(86532,86541) = 7488565812 / 3
LCM(86532,86541) = 2496188604

Least Common Multiple (LCM) of 86532 and 86541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86532 and 86541. First we will calculate the prime factors of 86532 and 86541.

Prime Factorization of 86532

Prime Factorization of 86541

Now multiplying the highest exponent prime factors to calculate the LCM of 86532 and 86541.

LCM(86532,86541) = 2² × 3¹ × 7211¹ × 7¹ × 13¹ × 317¹
LCM(86532,86541) = 2496188604