What is the Least Common Multiple of 35993 and 36001?

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 35993 and 36001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35993 and 36001, than apply into the LCM equation.

GCF(35993,36001) = 1
LCM(35993,36001) = ( 35993 × 36001) / 1
LCM(35993,36001) = 1295783993 / 1
LCM(35993,36001) = 1295783993

Least Common Multiple (LCM) of 35993 and 36001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35993 and 36001. First we will calculate the prime factors of 35993 and 36001.

Prime Factorization of 35993

Prime Factorization of 36001

Now multiplying the highest exponent prime factors to calculate the LCM of 35993 and 36001.

LCM(35993,36001) = 35993¹ × 7¹ × 37¹ × 139¹
LCM(35993,36001) = 1295783993