What is the Least Common Multiple of 35744 and 35763?

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 35763 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 35763, than apply into the LCM equation.

GCF(35744,35763) = 1
LCM(35744,35763) = ( 35744 × 35763) / 1
LCM(35744,35763) = 1278312672 / 1
LCM(35744,35763) = 1278312672

Least Common Multiple (LCM) of 35744 and 35763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35744 and 35763. First we will calculate the prime factors of 35744 and 35763.

Prime Factorization of 35744

Prime Factorization of 35763

Now multiplying the highest exponent prime factors to calculate the LCM of 35744 and 35763.

LCM(35744,35763) = 2⁵ × 1117¹ × 3¹ × 7¹ × 13¹ × 131¹
LCM(35744,35763) = 1278312672