What is the Least Common Multiple of 35296 and 35304?

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 35296 and 35304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35296 and 35304, than apply into the LCM equation.

GCF(35296,35304) = 8
LCM(35296,35304) = ( 35296 × 35304) / 8
LCM(35296,35304) = 1246089984 / 8
LCM(35296,35304) = 155761248

Least Common Multiple (LCM) of 35296 and 35304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35296 and 35304. First we will calculate the prime factors of 35296 and 35304.

Prime Factorization of 35296

Prime Factorization of 35304

Now multiplying the highest exponent prime factors to calculate the LCM of 35296 and 35304.

LCM(35296,35304) = 2⁵ × 1103¹ × 3¹ × 1471¹
LCM(35296,35304) = 155761248