What is the Least Common Multiple of 35966 and 35983?

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 35966 and 35983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35966 and 35983, than apply into the LCM equation.

GCF(35966,35983) = 1
LCM(35966,35983) = ( 35966 × 35983) / 1
LCM(35966,35983) = 1294164578 / 1
LCM(35966,35983) = 1294164578

Least Common Multiple (LCM) of 35966 and 35983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35966 and 35983. First we will calculate the prime factors of 35966 and 35983.

Prime Factorization of 35966

Prime Factorization of 35983

Now multiplying the highest exponent prime factors to calculate the LCM of 35966 and 35983.

LCM(35966,35983) = 2¹ × 7² × 367¹ × 35983¹
LCM(35966,35983) = 1294164578