What is the Least Common Multiple of 83712 and 83726?

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 83712 and 83726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83712 and 83726, than apply into the LCM equation.

GCF(83712,83726) = 2
LCM(83712,83726) = ( 83712 × 83726) / 2
LCM(83712,83726) = 7008870912 / 2
LCM(83712,83726) = 3504435456

Least Common Multiple (LCM) of 83712 and 83726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83712 and 83726. First we will calculate the prime factors of 83712 and 83726.

Prime Factorization of 83712

Prime Factorization of 83726

Now multiplying the highest exponent prime factors to calculate the LCM of 83712 and 83726.

LCM(83712,83726) = 2⁸ × 3¹ × 109¹ × 41863¹
LCM(83712,83726) = 3504435456