What is the Least Common Multiple of 82988 and 83008?

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 82988 and 83008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82988 and 83008, than apply into the LCM equation.

GCF(82988,83008) = 4
LCM(82988,83008) = ( 82988 × 83008) / 4
LCM(82988,83008) = 6888667904 / 4
LCM(82988,83008) = 1722166976

Least Common Multiple (LCM) of 82988 and 83008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82988 and 83008. First we will calculate the prime factors of 82988 and 83008.

Prime Factorization of 82988

Prime Factorization of 83008

Now multiplying the highest exponent prime factors to calculate the LCM of 82988 and 83008.

LCM(82988,83008) = 2⁶ × 20747¹ × 1297¹
LCM(82988,83008) = 1722166976