What is the Least Common Multiple of 19962 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 19962 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 19962 and 19966, than apply into the LCM equation.

GCF(19962,19966) = 2
LCM(19962,19966) = ( 19962 × 19966) / 2
LCM(19962,19966) = 398561292 / 2
LCM(19962,19966) = 199280646

Least Common Multiple (LCM) of 19962 and 19966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19962 and 19966. First we will calculate the prime factors of 19962 and 19966.

Prime Factorization of 19962

Prime Factorization of 19966

Now multiplying the highest exponent prime factors to calculate the LCM of 19962 and 19966.

LCM(19962,19966) = 2¹ × 3² × 1109¹ × 67¹ × 149¹
LCM(19962,19966) = 199280646