What is the Least Common Multiple of 47000 and 47008?

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 47000 and 47008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47000 and 47008, than apply into the LCM equation.

GCF(47000,47008) = 8
LCM(47000,47008) = ( 47000 × 47008) / 8
LCM(47000,47008) = 2209376000 / 8
LCM(47000,47008) = 276172000

Least Common Multiple (LCM) of 47000 and 47008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47000 and 47008. First we will calculate the prime factors of 47000 and 47008.

Prime Factorization of 47000

Prime Factorization of 47008

Now multiplying the highest exponent prime factors to calculate the LCM of 47000 and 47008.

LCM(47000,47008) = 2⁵ × 5³ × 47¹ × 13¹ × 113¹
LCM(47000,47008) = 276172000