What is the Least Common Multiple of 65003 and 65018?

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 65003 and 65018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65003 and 65018, than apply into the LCM equation.

GCF(65003,65018) = 1
LCM(65003,65018) = ( 65003 × 65018) / 1
LCM(65003,65018) = 4226365054 / 1
LCM(65003,65018) = 4226365054

Least Common Multiple (LCM) of 65003 and 65018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65003 and 65018. First we will calculate the prime factors of 65003 and 65018.

Prime Factorization of 65003

Prime Factorization of 65018

Now multiplying the highest exponent prime factors to calculate the LCM of 65003 and 65018.

LCM(65003,65018) = 65003¹ × 2¹ × 19¹ × 29¹ × 59¹
LCM(65003,65018) = 4226365054