What is the Least Common Multiple of 83968 and 83973?

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 83968 and 83973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83968 and 83973, than apply into the LCM equation.

GCF(83968,83973) = 1
LCM(83968,83973) = ( 83968 × 83973) / 1
LCM(83968,83973) = 7051044864 / 1
LCM(83968,83973) = 7051044864

Least Common Multiple (LCM) of 83968 and 83973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83968 and 83973. First we will calculate the prime factors of 83968 and 83973.

Prime Factorization of 83968

Prime Factorization of 83973

Now multiplying the highest exponent prime factors to calculate the LCM of 83968 and 83973.

LCM(83968,83973) = 2¹¹ × 41¹ × 3¹ × 23¹ × 1217¹
LCM(83968,83973) = 7051044864