What is the Least Common Multiple of 35256 and 35268?

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 35268 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 35268, than apply into the LCM equation.

GCF(35256,35268) = 12
LCM(35256,35268) = ( 35256 × 35268) / 12
LCM(35256,35268) = 1243408608 / 12
LCM(35256,35268) = 103617384

Least Common Multiple (LCM) of 35256 and 35268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35256 and 35268. First we will calculate the prime factors of 35256 and 35268.

Prime Factorization of 35256

Prime Factorization of 35268

Now multiplying the highest exponent prime factors to calculate the LCM of 35256 and 35268.

LCM(35256,35268) = 2³ × 3¹ × 13¹ × 113¹ × 2939¹
LCM(35256,35268) = 103617384