What is the Least Common Multiple of 35985 and 35997?

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 35985 and 35997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35985 and 35997, than apply into the LCM equation.

GCF(35985,35997) = 3
LCM(35985,35997) = ( 35985 × 35997) / 3
LCM(35985,35997) = 1295352045 / 3
LCM(35985,35997) = 431784015

Least Common Multiple (LCM) of 35985 and 35997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35985 and 35997. First we will calculate the prime factors of 35985 and 35997.

Prime Factorization of 35985

Prime Factorization of 35997

Now multiplying the highest exponent prime factors to calculate the LCM of 35985 and 35997.

LCM(35985,35997) = 3¹ × 5¹ × 2399¹ × 13² × 71¹
LCM(35985,35997) = 431784015