What is the Least Common Multiple of 61000 and 61008?

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 61000 and 61008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61000 and 61008, than apply into the LCM equation.

GCF(61000,61008) = 8
LCM(61000,61008) = ( 61000 × 61008) / 8
LCM(61000,61008) = 3721488000 / 8
LCM(61000,61008) = 465186000

Least Common Multiple (LCM) of 61000 and 61008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61000 and 61008. First we will calculate the prime factors of 61000 and 61008.

Prime Factorization of 61000

Prime Factorization of 61008

Now multiplying the highest exponent prime factors to calculate the LCM of 61000 and 61008.

LCM(61000,61008) = 2⁴ × 5³ × 61¹ × 3¹ × 31¹ × 41¹
LCM(61000,61008) = 465186000