What is the Least Common Multiple of 83940 and 83955?

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 83940 and 83955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83940 and 83955, than apply into the LCM equation.

GCF(83940,83955) = 15
LCM(83940,83955) = ( 83940 × 83955) / 15
LCM(83940,83955) = 7047182700 / 15
LCM(83940,83955) = 469812180

Least Common Multiple (LCM) of 83940 and 83955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83940 and 83955. First we will calculate the prime factors of 83940 and 83955.

Prime Factorization of 83940

Prime Factorization of 83955

Now multiplying the highest exponent prime factors to calculate the LCM of 83940 and 83955.

LCM(83940,83955) = 2² × 3¹ × 5¹ × 1399¹ × 29¹ × 193¹
LCM(83940,83955) = 469812180