What is the Least Common Multiple of 19666 and 19674?

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 19666 and 19674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19666 and 19674, than apply into the LCM equation.

GCF(19666,19674) = 2
LCM(19666,19674) = ( 19666 × 19674) / 2
LCM(19666,19674) = 386908884 / 2
LCM(19666,19674) = 193454442

Least Common Multiple (LCM) of 19666 and 19674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19666 and 19674. First we will calculate the prime factors of 19666 and 19674.

Prime Factorization of 19666

Prime Factorization of 19674

Now multiplying the highest exponent prime factors to calculate the LCM of 19666 and 19674.

LCM(19666,19674) = 2¹ × 9833¹ × 3² × 1093¹
LCM(19666,19674) = 193454442