What is the Least Common Multiple of 83920 and 83928?

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 83920 and 83928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83920 and 83928, than apply into the LCM equation.

GCF(83920,83928) = 8
LCM(83920,83928) = ( 83920 × 83928) / 8
LCM(83920,83928) = 7043237760 / 8
LCM(83920,83928) = 880404720

Least Common Multiple (LCM) of 83920 and 83928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83920 and 83928. First we will calculate the prime factors of 83920 and 83928.

Prime Factorization of 83920

Prime Factorization of 83928

Now multiplying the highest exponent prime factors to calculate the LCM of 83920 and 83928.

LCM(83920,83928) = 2⁴ × 5¹ × 1049¹ × 3¹ × 13¹ × 269¹
LCM(83920,83928) = 880404720