What is the Least Common Multiple of 85000 and 85008?

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 85000 and 85008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85000 and 85008, than apply into the LCM equation.

GCF(85000,85008) = 8
LCM(85000,85008) = ( 85000 × 85008) / 8
LCM(85000,85008) = 7225680000 / 8
LCM(85000,85008) = 903210000

Least Common Multiple (LCM) of 85000 and 85008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85000 and 85008. First we will calculate the prime factors of 85000 and 85008.

Prime Factorization of 85000

Prime Factorization of 85008

Now multiplying the highest exponent prime factors to calculate the LCM of 85000 and 85008.

LCM(85000,85008) = 2⁴ × 5⁴ × 17¹ × 3¹ × 7¹ × 11¹ × 23¹
LCM(85000,85008) = 903210000