What is the Least Common Multiple of 19961 and 19981?

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 19961 and 19981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19961 and 19981, than apply into the LCM equation.

GCF(19961,19981) = 1
LCM(19961,19981) = ( 19961 × 19981) / 1
LCM(19961,19981) = 398840741 / 1
LCM(19961,19981) = 398840741

Least Common Multiple (LCM) of 19961 and 19981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19961 and 19981. First we will calculate the prime factors of 19961 and 19981.

Prime Factorization of 19961

Prime Factorization of 19981

Now multiplying the highest exponent prime factors to calculate the LCM of 19961 and 19981.

LCM(19961,19981) = 19961¹ × 13¹ × 29¹ × 53¹
LCM(19961,19981) = 398840741