What is the Least Common Multiple of 40180 and 40198?

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 40180 and 40198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40180 and 40198, than apply into the LCM equation.

GCF(40180,40198) = 2
LCM(40180,40198) = ( 40180 × 40198) / 2
LCM(40180,40198) = 1615155640 / 2
LCM(40180,40198) = 807577820

Least Common Multiple (LCM) of 40180 and 40198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40180 and 40198. First we will calculate the prime factors of 40180 and 40198.

Prime Factorization of 40180

Prime Factorization of 40198

Now multiplying the highest exponent prime factors to calculate the LCM of 40180 and 40198.

LCM(40180,40198) = 2² × 5¹ × 7² × 41¹ × 101¹ × 199¹
LCM(40180,40198) = 807577820