What is the Least Common Multiple of 35256 and 35264?

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 35256 and 35264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35256 and 35264, than apply into the LCM equation.

GCF(35256,35264) = 8
LCM(35256,35264) = ( 35256 × 35264) / 8
LCM(35256,35264) = 1243267584 / 8
LCM(35256,35264) = 155408448

Least Common Multiple (LCM) of 35256 and 35264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35256 and 35264. First we will calculate the prime factors of 35256 and 35264.

Prime Factorization of 35256

Prime Factorization of 35264

Now multiplying the highest exponent prime factors to calculate the LCM of 35256 and 35264.

LCM(35256,35264) = 2⁶ × 3¹ × 13¹ × 113¹ × 19¹ × 29¹
LCM(35256,35264) = 155408448