What is the Least Common Multiple of 4180 and 4199?

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 4180 and 4199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4180 and 4199, than apply into the LCM equation.

GCF(4180,4199) = 19
LCM(4180,4199) = ( 4180 × 4199) / 19
LCM(4180,4199) = 17551820 / 19
LCM(4180,4199) = 923780

Least Common Multiple (LCM) of 4180 and 4199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4180 and 4199. First we will calculate the prime factors of 4180 and 4199.

Prime Factorization of 4180

Prime Factorization of 4199

Now multiplying the highest exponent prime factors to calculate the LCM of 4180 and 4199.

LCM(4180,4199) = 2² × 5¹ × 11¹ × 19¹ × 13¹ × 17¹
LCM(4180,4199) = 923780