What is the Least Common Multiple of 83623 and 83640?

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 83623 and 83640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83623 and 83640, than apply into the LCM equation.

GCF(83623,83640) = 17
LCM(83623,83640) = ( 83623 × 83640) / 17
LCM(83623,83640) = 6994227720 / 17
LCM(83623,83640) = 411425160

Least Common Multiple (LCM) of 83623 and 83640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83623 and 83640. First we will calculate the prime factors of 83623 and 83640.

Prime Factorization of 83623

Prime Factorization of 83640

Now multiplying the highest exponent prime factors to calculate the LCM of 83623 and 83640.

LCM(83623,83640) = 17¹ × 4919¹ × 2³ × 3¹ × 5¹ × 41¹
LCM(83623,83640) = 411425160