What is the Least Common Multiple of 86540 and 86544?

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 86540 and 86544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86540 and 86544, than apply into the LCM equation.

GCF(86540,86544) = 4
LCM(86540,86544) = ( 86540 × 86544) / 4
LCM(86540,86544) = 7489517760 / 4
LCM(86540,86544) = 1872379440

Least Common Multiple (LCM) of 86540 and 86544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86540 and 86544. First we will calculate the prime factors of 86540 and 86544.

Prime Factorization of 86540

Prime Factorization of 86544

Now multiplying the highest exponent prime factors to calculate the LCM of 86540 and 86544.

LCM(86540,86544) = 2⁴ × 5¹ × 4327¹ × 3² × 601¹
LCM(86540,86544) = 1872379440