What is the Least Common Multiple of 35644 and 35656?

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 35644 and 35656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35644 and 35656, than apply into the LCM equation.

GCF(35644,35656) = 4
LCM(35644,35656) = ( 35644 × 35656) / 4
LCM(35644,35656) = 1270922464 / 4
LCM(35644,35656) = 317730616

Least Common Multiple (LCM) of 35644 and 35656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35644 and 35656. First we will calculate the prime factors of 35644 and 35656.

Prime Factorization of 35644

Prime Factorization of 35656

Now multiplying the highest exponent prime factors to calculate the LCM of 35644 and 35656.

LCM(35644,35656) = 2³ × 7¹ × 19¹ × 67¹ × 4457¹
LCM(35644,35656) = 317730616