What is the Least Common Multiple of 83180 and 83199?

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 83180 and 83199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83180 and 83199, than apply into the LCM equation.

GCF(83180,83199) = 1
LCM(83180,83199) = ( 83180 × 83199) / 1
LCM(83180,83199) = 6920492820 / 1
LCM(83180,83199) = 6920492820

Least Common Multiple (LCM) of 83180 and 83199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83180 and 83199. First we will calculate the prime factors of 83180 and 83199.

Prime Factorization of 83180

Prime Factorization of 83199

Now multiplying the highest exponent prime factors to calculate the LCM of 83180 and 83199.

LCM(83180,83199) = 2² × 5¹ × 4159¹ × 3¹ × 27733¹
LCM(83180,83199) = 6920492820