What is the Least Common Multiple of 19967 and 19974?

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 19967 and 19974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19967 and 19974, than apply into the LCM equation.

GCF(19967,19974) = 1
LCM(19967,19974) = ( 19967 × 19974) / 1
LCM(19967,19974) = 398820858 / 1
LCM(19967,19974) = 398820858

Least Common Multiple (LCM) of 19967 and 19974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19967 and 19974. First we will calculate the prime factors of 19967 and 19974.

Prime Factorization of 19967

Prime Factorization of 19974

Now multiplying the highest exponent prime factors to calculate the LCM of 19967 and 19974.

LCM(19967,19974) = 41¹ × 487¹ × 2¹ × 3¹ × 3329¹
LCM(19967,19974) = 398820858