What is the Least Common Multiple of 99966 and 99971?

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 99966 and 99971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99966 and 99971, than apply into the LCM equation.

GCF(99966,99971) = 1
LCM(99966,99971) = ( 99966 × 99971) / 1
LCM(99966,99971) = 9993700986 / 1
LCM(99966,99971) = 9993700986

Least Common Multiple (LCM) of 99966 and 99971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99966 and 99971. First we will calculate the prime factors of 99966 and 99971.

Prime Factorization of 99966

Prime Factorization of 99971

Now multiplying the highest exponent prime factors to calculate the LCM of 99966 and 99971.

LCM(99966,99971) = 2¹ × 3¹ × 16661¹ × 99971¹
LCM(99966,99971) = 9993700986