What is the Least Common Multiple of 83728 and 83746?

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 83728 and 83746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83728 and 83746, than apply into the LCM equation.

GCF(83728,83746) = 2
LCM(83728,83746) = ( 83728 × 83746) / 2
LCM(83728,83746) = 7011885088 / 2
LCM(83728,83746) = 3505942544

Least Common Multiple (LCM) of 83728 and 83746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83728 and 83746. First we will calculate the prime factors of 83728 and 83746.

Prime Factorization of 83728

Prime Factorization of 83746

Now multiplying the highest exponent prime factors to calculate the LCM of 83728 and 83746.

LCM(83728,83746) = 2⁴ × 5233¹ × 13¹ × 3221¹
LCM(83728,83746) = 3505942544