What is the Least Common Multiple of 83920 and 83940?

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 83940 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 83940, than apply into the LCM equation.

GCF(83920,83940) = 20
LCM(83920,83940) = ( 83920 × 83940) / 20
LCM(83920,83940) = 7044244800 / 20
LCM(83920,83940) = 352212240

Least Common Multiple (LCM) of 83920 and 83940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83920 and 83940. First we will calculate the prime factors of 83920 and 83940.

Prime Factorization of 83920

Prime Factorization of 83940

Now multiplying the highest exponent prime factors to calculate the LCM of 83920 and 83940.

LCM(83920,83940) = 2⁴ × 5¹ × 1049¹ × 3¹ × 1399¹
LCM(83920,83940) = 352212240