What is the Least Common Multiple of 35744 and 35751?

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 35751 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 35751, than apply into the LCM equation.

GCF(35744,35751) = 1
LCM(35744,35751) = ( 35744 × 35751) / 1
LCM(35744,35751) = 1277883744 / 1
LCM(35744,35751) = 1277883744

Least Common Multiple (LCM) of 35744 and 35751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35744 and 35751. First we will calculate the prime factors of 35744 and 35751.

Prime Factorization of 35744

Prime Factorization of 35751

Now multiplying the highest exponent prime factors to calculate the LCM of 35744 and 35751.

LCM(35744,35751) = 2⁵ × 1117¹ × 3¹ × 17¹ × 701¹
LCM(35744,35751) = 1277883744