What is the Least Common Multiple of 35474 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 35474 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 35474 and 35488, than apply into the LCM equation.

GCF(35474,35488) = 2
LCM(35474,35488) = ( 35474 × 35488) / 2
LCM(35474,35488) = 1258901312 / 2
LCM(35474,35488) = 629450656

Least Common Multiple (LCM) of 35474 and 35488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35474 and 35488. First we will calculate the prime factors of 35474 and 35488.

Prime Factorization of 35474

Prime Factorization of 35488

Now multiplying the highest exponent prime factors to calculate the LCM of 35474 and 35488.

LCM(35474,35488) = 2⁵ × 17737¹ × 1109¹
LCM(35474,35488) = 629450656