What is the Least Common Multiple of 86640 and 86649?

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 86640 and 86649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86640 and 86649, than apply into the LCM equation.

GCF(86640,86649) = 3
LCM(86640,86649) = ( 86640 × 86649) / 3
LCM(86640,86649) = 7507269360 / 3
LCM(86640,86649) = 2502423120

Least Common Multiple (LCM) of 86640 and 86649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86640 and 86649. First we will calculate the prime factors of 86640 and 86649.

Prime Factorization of 86640

Prime Factorization of 86649

Now multiplying the highest exponent prime factors to calculate the LCM of 86640 and 86649.

LCM(86640,86649) = 2⁴ × 3¹ × 5¹ × 19² × 17¹ × 1699¹
LCM(86640,86649) = 2502423120