What is the Least Common Multiple of 86725 and 86740?

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 86725 and 86740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86725 and 86740, than apply into the LCM equation.

GCF(86725,86740) = 5
LCM(86725,86740) = ( 86725 × 86740) / 5
LCM(86725,86740) = 7522526500 / 5
LCM(86725,86740) = 1504505300

Least Common Multiple (LCM) of 86725 and 86740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86725 and 86740. First we will calculate the prime factors of 86725 and 86740.

Prime Factorization of 86725

Prime Factorization of 86740

Now multiplying the highest exponent prime factors to calculate the LCM of 86725 and 86740.

LCM(86725,86740) = 5² × 3469¹ × 2² × 4337¹
LCM(86725,86740) = 1504505300