What is the Least Common Multiple of 35744 and 35756?

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 35744 and 35756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35744 and 35756, than apply into the LCM equation.

GCF(35744,35756) = 4
LCM(35744,35756) = ( 35744 × 35756) / 4
LCM(35744,35756) = 1278062464 / 4
LCM(35744,35756) = 319515616

Least Common Multiple (LCM) of 35744 and 35756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35744 and 35756. First we will calculate the prime factors of 35744 and 35756.

Prime Factorization of 35744

Prime Factorization of 35756

Now multiplying the highest exponent prime factors to calculate the LCM of 35744 and 35756.

LCM(35744,35756) = 2⁵ × 1117¹ × 7¹ × 1277¹
LCM(35744,35756) = 319515616