What is the Least Common Multiple of 83973 and 83985?

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 83973 and 83985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83973 and 83985, than apply into the LCM equation.

GCF(83973,83985) = 3
LCM(83973,83985) = ( 83973 × 83985) / 3
LCM(83973,83985) = 7052472405 / 3
LCM(83973,83985) = 2350824135

Least Common Multiple (LCM) of 83973 and 83985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83973 and 83985. First we will calculate the prime factors of 83973 and 83985.

Prime Factorization of 83973

Prime Factorization of 83985

Now multiplying the highest exponent prime factors to calculate the LCM of 83973 and 83985.

LCM(83973,83985) = 3¹ × 23¹ × 1217¹ × 5¹ × 11¹ × 509¹
LCM(83973,83985) = 2350824135