What is the Least Common Multiple of 35472 and 35488?

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 35472 and 35488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35472 and 35488, than apply into the LCM equation.

GCF(35472,35488) = 16
LCM(35472,35488) = ( 35472 × 35488) / 16
LCM(35472,35488) = 1258830336 / 16
LCM(35472,35488) = 78676896

Least Common Multiple (LCM) of 35472 and 35488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35472 and 35488. First we will calculate the prime factors of 35472 and 35488.

Prime Factorization of 35472

Prime Factorization of 35488

Now multiplying the highest exponent prime factors to calculate the LCM of 35472 and 35488.

LCM(35472,35488) = 2⁵ × 3¹ × 739¹ × 1109¹
LCM(35472,35488) = 78676896