What is the Least Common Multiple of 40198 and 40218?

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 40198 and 40218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40198 and 40218, than apply into the LCM equation.

GCF(40198,40218) = 2
LCM(40198,40218) = ( 40198 × 40218) / 2
LCM(40198,40218) = 1616683164 / 2
LCM(40198,40218) = 808341582

Least Common Multiple (LCM) of 40198 and 40218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40198 and 40218. First we will calculate the prime factors of 40198 and 40218.

Prime Factorization of 40198

Prime Factorization of 40218

Now multiplying the highest exponent prime factors to calculate the LCM of 40198 and 40218.

LCM(40198,40218) = 2¹ × 101¹ × 199¹ × 3¹ × 6703¹
LCM(40198,40218) = 808341582