What is the Least Common Multiple of 19966 and 19984?

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 19966 and 19984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19966 and 19984, than apply into the LCM equation.

GCF(19966,19984) = 2
LCM(19966,19984) = ( 19966 × 19984) / 2
LCM(19966,19984) = 399000544 / 2
LCM(19966,19984) = 199500272

Least Common Multiple (LCM) of 19966 and 19984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19966 and 19984. First we will calculate the prime factors of 19966 and 19984.

Prime Factorization of 19966

Prime Factorization of 19984

Now multiplying the highest exponent prime factors to calculate the LCM of 19966 and 19984.

LCM(19966,19984) = 2⁴ × 67¹ × 149¹ × 1249¹
LCM(19966,19984) = 199500272