What is the Least Common Multiple of 86640 and 86653?

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 86653 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 86653, than apply into the LCM equation.

GCF(86640,86653) = 1
LCM(86640,86653) = ( 86640 × 86653) / 1
LCM(86640,86653) = 7507615920 / 1
LCM(86640,86653) = 7507615920

Least Common Multiple (LCM) of 86640 and 86653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86640 and 86653. First we will calculate the prime factors of 86640 and 86653.

Prime Factorization of 86640

Prime Factorization of 86653

Now multiplying the highest exponent prime factors to calculate the LCM of 86640 and 86653.

LCM(86640,86653) = 2⁴ × 3¹ × 5¹ × 19² × 7¹ × 12379¹
LCM(86640,86653) = 7507615920