What is the Least Common Multiple of 35584 and 35588?

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 35584 and 35588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35584 and 35588, than apply into the LCM equation.

GCF(35584,35588) = 4
LCM(35584,35588) = ( 35584 × 35588) / 4
LCM(35584,35588) = 1266363392 / 4
LCM(35584,35588) = 316590848

Least Common Multiple (LCM) of 35584 and 35588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35584 and 35588. First we will calculate the prime factors of 35584 and 35588.

Prime Factorization of 35584

Prime Factorization of 35588

Now multiplying the highest exponent prime factors to calculate the LCM of 35584 and 35588.

LCM(35584,35588) = 2⁸ × 139¹ × 7¹ × 31¹ × 41¹
LCM(35584,35588) = 316590848