What is the Least Common Multiple of 83643 and 83656?

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 83643 and 83656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83643 and 83656, than apply into the LCM equation.

GCF(83643,83656) = 1
LCM(83643,83656) = ( 83643 × 83656) / 1
LCM(83643,83656) = 6997238808 / 1
LCM(83643,83656) = 6997238808

Least Common Multiple (LCM) of 83643 and 83656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83643 and 83656. First we will calculate the prime factors of 83643 and 83656.

Prime Factorization of 83643

Prime Factorization of 83656

Now multiplying the highest exponent prime factors to calculate the LCM of 83643 and 83656.

LCM(83643,83656) = 3¹ × 7² × 569¹ × 2³ × 10457¹
LCM(83643,83656) = 6997238808