What is the Least Common Multiple of 19946 and 19966?

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 19946 and 19966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19946 and 19966, than apply into the LCM equation.

GCF(19946,19966) = 2
LCM(19946,19966) = ( 19946 × 19966) / 2
LCM(19946,19966) = 398241836 / 2
LCM(19946,19966) = 199120918

Least Common Multiple (LCM) of 19946 and 19966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19946 and 19966. First we will calculate the prime factors of 19946 and 19966.

Prime Factorization of 19946

Prime Factorization of 19966

Now multiplying the highest exponent prime factors to calculate the LCM of 19946 and 19966.

LCM(19946,19966) = 2¹ × 9973¹ × 67¹ × 149¹
LCM(19946,19966) = 199120918