What is the Least Common Multiple of 86643 and 86648?

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 86643 and 86648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86643 and 86648, than apply into the LCM equation.

GCF(86643,86648) = 1
LCM(86643,86648) = ( 86643 × 86648) / 1
LCM(86643,86648) = 7507442664 / 1
LCM(86643,86648) = 7507442664

Least Common Multiple (LCM) of 86643 and 86648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86643 and 86648. First we will calculate the prime factors of 86643 and 86648.

Prime Factorization of 86643

Prime Factorization of 86648

Now multiplying the highest exponent prime factors to calculate the LCM of 86643 and 86648.

LCM(86643,86648) = 3³ × 3209¹ × 2³ × 10831¹
LCM(86643,86648) = 7507442664