What is the Least Common Multiple of 19948 and 19962?

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 19948 and 19962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19948 and 19962, than apply into the LCM equation.

GCF(19948,19962) = 2
LCM(19948,19962) = ( 19948 × 19962) / 2
LCM(19948,19962) = 398201976 / 2
LCM(19948,19962) = 199100988

Least Common Multiple (LCM) of 19948 and 19962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19948 and 19962. First we will calculate the prime factors of 19948 and 19962.

Prime Factorization of 19948

Prime Factorization of 19962

Now multiplying the highest exponent prime factors to calculate the LCM of 19948 and 19962.

LCM(19948,19962) = 2² × 4987¹ × 3² × 1109¹
LCM(19948,19962) = 199100988