What is the Least Common Multiple of 83596 and 83612?

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 83596 and 83612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83596 and 83612, than apply into the LCM equation.

GCF(83596,83612) = 4
LCM(83596,83612) = ( 83596 × 83612) / 4
LCM(83596,83612) = 6989628752 / 4
LCM(83596,83612) = 1747407188

Least Common Multiple (LCM) of 83596 and 83612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83596 and 83612. First we will calculate the prime factors of 83596 and 83612.

Prime Factorization of 83596

Prime Factorization of 83612

Now multiplying the highest exponent prime factors to calculate the LCM of 83596 and 83612.

LCM(83596,83612) = 2² × 20899¹ × 20903¹
LCM(83596,83612) = 1747407188