What is the Least Common Multiple of 83628 and 83643?

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 83628 and 83643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83628 and 83643, than apply into the LCM equation.

GCF(83628,83643) = 3
LCM(83628,83643) = ( 83628 × 83643) / 3
LCM(83628,83643) = 6994896804 / 3
LCM(83628,83643) = 2331632268

Least Common Multiple (LCM) of 83628 and 83643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83628 and 83643. First we will calculate the prime factors of 83628 and 83643.

Prime Factorization of 83628

Prime Factorization of 83643

Now multiplying the highest exponent prime factors to calculate the LCM of 83628 and 83643.

LCM(83628,83643) = 2² × 3² × 23¹ × 101¹ × 7² × 569¹
LCM(83628,83643) = 2331632268