What is the Least Common Multiple of 35656 and 35668?

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 35656 and 35668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35656 and 35668, than apply into the LCM equation.

GCF(35656,35668) = 4
LCM(35656,35668) = ( 35656 × 35668) / 4
LCM(35656,35668) = 1271778208 / 4
LCM(35656,35668) = 317944552

Least Common Multiple (LCM) of 35656 and 35668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35656 and 35668. First we will calculate the prime factors of 35656 and 35668.

Prime Factorization of 35656

Prime Factorization of 35668

Now multiplying the highest exponent prime factors to calculate the LCM of 35656 and 35668.

LCM(35656,35668) = 2³ × 4457¹ × 37¹ × 241¹
LCM(35656,35668) = 317944552