What is the Least Common Multiple of 21183 and 21198?

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 21183 and 21198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21183 and 21198, than apply into the LCM equation.

GCF(21183,21198) = 3
LCM(21183,21198) = ( 21183 × 21198) / 3
LCM(21183,21198) = 449037234 / 3
LCM(21183,21198) = 149679078

Least Common Multiple (LCM) of 21183 and 21198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21183 and 21198. First we will calculate the prime factors of 21183 and 21198.

Prime Factorization of 21183

Prime Factorization of 21198

Now multiplying the highest exponent prime factors to calculate the LCM of 21183 and 21198.

LCM(21183,21198) = 3¹ × 23¹ × 307¹ × 2¹ × 3533¹
LCM(21183,21198) = 149679078