What is the Least Common Multiple of 35989 and 36007?

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 35989 and 36007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35989 and 36007, than apply into the LCM equation.

GCF(35989,36007) = 1
LCM(35989,36007) = ( 35989 × 36007) / 1
LCM(35989,36007) = 1295855923 / 1
LCM(35989,36007) = 1295855923

Least Common Multiple (LCM) of 35989 and 36007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35989 and 36007. First we will calculate the prime factors of 35989 and 36007.

Prime Factorization of 35989

Prime Factorization of 36007

Now multiplying the highest exponent prime factors to calculate the LCM of 35989 and 36007.

LCM(35989,36007) = 17¹ × 29¹ × 73¹ × 36007¹
LCM(35989,36007) = 1295855923