What is the Least Common Multiple of 19668 and 19677?

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 19668 and 19677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19668 and 19677, than apply into the LCM equation.

GCF(19668,19677) = 3
LCM(19668,19677) = ( 19668 × 19677) / 3
LCM(19668,19677) = 387007236 / 3
LCM(19668,19677) = 129002412

Least Common Multiple (LCM) of 19668 and 19677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19668 and 19677. First we will calculate the prime factors of 19668 and 19677.

Prime Factorization of 19668

Prime Factorization of 19677

Now multiplying the highest exponent prime factors to calculate the LCM of 19668 and 19677.

LCM(19668,19677) = 2² × 3¹ × 11¹ × 149¹ × 7¹ × 937¹
LCM(19668,19677) = 129002412