What is the Least Common Multiple of 82992 and 82999?

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 82992 and 82999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82992 and 82999, than apply into the LCM equation.

GCF(82992,82999) = 7
LCM(82992,82999) = ( 82992 × 82999) / 7
LCM(82992,82999) = 6888253008 / 7
LCM(82992,82999) = 984036144

Least Common Multiple (LCM) of 82992 and 82999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82992 and 82999. First we will calculate the prime factors of 82992 and 82999.

Prime Factorization of 82992

Prime Factorization of 82999

Now multiplying the highest exponent prime factors to calculate the LCM of 82992 and 82999.

LCM(82992,82999) = 2⁴ × 3¹ × 7¹ × 13¹ × 19¹ × 71¹ × 167¹
LCM(82992,82999) = 984036144