What is the Least Common Multiple of 34744 and 34750?

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 34744 and 34750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34744 and 34750, than apply into the LCM equation.

GCF(34744,34750) = 2
LCM(34744,34750) = ( 34744 × 34750) / 2
LCM(34744,34750) = 1207354000 / 2
LCM(34744,34750) = 603677000

Least Common Multiple (LCM) of 34744 and 34750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34744 and 34750. First we will calculate the prime factors of 34744 and 34750.

Prime Factorization of 34744

Prime Factorization of 34750

Now multiplying the highest exponent prime factors to calculate the LCM of 34744 and 34750.

LCM(34744,34750) = 2³ × 43¹ × 101¹ × 5³ × 139¹
LCM(34744,34750) = 603677000