What is the Least Common Multiple of 35744 and 35748?

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 35748 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 35748, than apply into the LCM equation.

GCF(35744,35748) = 4
LCM(35744,35748) = ( 35744 × 35748) / 4
LCM(35744,35748) = 1277776512 / 4
LCM(35744,35748) = 319444128

Least Common Multiple (LCM) of 35744 and 35748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35744 and 35748. First we will calculate the prime factors of 35744 and 35748.

Prime Factorization of 35744

Prime Factorization of 35748

Now multiplying the highest exponent prime factors to calculate the LCM of 35744 and 35748.

LCM(35744,35748) = 2⁵ × 1117¹ × 3³ × 331¹
LCM(35744,35748) = 319444128