What is the Least Common Multiple of 35888 and 35908?

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 35888 and 35908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35888 and 35908, than apply into the LCM equation.

GCF(35888,35908) = 4
LCM(35888,35908) = ( 35888 × 35908) / 4
LCM(35888,35908) = 1288666304 / 4
LCM(35888,35908) = 322166576

Least Common Multiple (LCM) of 35888 and 35908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35888 and 35908. First we will calculate the prime factors of 35888 and 35908.

Prime Factorization of 35888

Prime Factorization of 35908

Now multiplying the highest exponent prime factors to calculate the LCM of 35888 and 35908.

LCM(35888,35908) = 2⁴ × 2243¹ × 47¹ × 191¹
LCM(35888,35908) = 322166576