What is the Least Common Multiple of 19984 and 19994?

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 19984 and 19994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19984 and 19994, than apply into the LCM equation.

GCF(19984,19994) = 2
LCM(19984,19994) = ( 19984 × 19994) / 2
LCM(19984,19994) = 399560096 / 2
LCM(19984,19994) = 199780048

Least Common Multiple (LCM) of 19984 and 19994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19984 and 19994. First we will calculate the prime factors of 19984 and 19994.

Prime Factorization of 19984

Prime Factorization of 19994

Now multiplying the highest exponent prime factors to calculate the LCM of 19984 and 19994.

LCM(19984,19994) = 2⁴ × 1249¹ × 13¹ × 769¹
LCM(19984,19994) = 199780048