What is the Least Common Multiple of 35996 and 36003?

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 35996 and 36003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35996 and 36003, than apply into the LCM equation.

GCF(35996,36003) = 1
LCM(35996,36003) = ( 35996 × 36003) / 1
LCM(35996,36003) = 1295963988 / 1
LCM(35996,36003) = 1295963988

Least Common Multiple (LCM) of 35996 and 36003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35996 and 36003. First we will calculate the prime factors of 35996 and 36003.

Prime Factorization of 35996

Prime Factorization of 36003

Now multiplying the highest exponent prime factors to calculate the LCM of 35996 and 36003.

LCM(35996,36003) = 2² × 8999¹ × 3¹ × 11¹ × 1091¹
LCM(35996,36003) = 1295963988