What is the Least Common Multiple of 83980 and 83997?

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 83980 and 83997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83980 and 83997, than apply into the LCM equation.

GCF(83980,83997) = 17
LCM(83980,83997) = ( 83980 × 83997) / 17
LCM(83980,83997) = 7054068060 / 17
LCM(83980,83997) = 414945180

Least Common Multiple (LCM) of 83980 and 83997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83980 and 83997. First we will calculate the prime factors of 83980 and 83997.

Prime Factorization of 83980

Prime Factorization of 83997

Now multiplying the highest exponent prime factors to calculate the LCM of 83980 and 83997.

LCM(83980,83997) = 2² × 5¹ × 13¹ × 17¹ × 19¹ × 3⁴ × 61¹
LCM(83980,83997) = 414945180