What is the Least Common Multiple of 29744 and 29750?

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 29744 and 29750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29744 and 29750, than apply into the LCM equation.

GCF(29744,29750) = 2
LCM(29744,29750) = ( 29744 × 29750) / 2
LCM(29744,29750) = 884884000 / 2
LCM(29744,29750) = 442442000

Least Common Multiple (LCM) of 29744 and 29750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29744 and 29750. First we will calculate the prime factors of 29744 and 29750.

Prime Factorization of 29744

Prime Factorization of 29750

Now multiplying the highest exponent prime factors to calculate the LCM of 29744 and 29750.

LCM(29744,29750) = 2⁴ × 11¹ × 13² × 5³ × 7¹ × 17¹
LCM(29744,29750) = 442442000