What is the Least Common Multiple of 19674 and 19689?

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 19674 and 19689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19674 and 19689, than apply into the LCM equation.

GCF(19674,19689) = 3
LCM(19674,19689) = ( 19674 × 19689) / 3
LCM(19674,19689) = 387361386 / 3
LCM(19674,19689) = 129120462

Least Common Multiple (LCM) of 19674 and 19689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19674 and 19689. First we will calculate the prime factors of 19674 and 19689.

Prime Factorization of 19674

Prime Factorization of 19689

Now multiplying the highest exponent prime factors to calculate the LCM of 19674 and 19689.

LCM(19674,19689) = 2¹ × 3² × 1093¹ × 6563¹
LCM(19674,19689) = 129120462