What is the Least Common Multiple of 64999 and 65003?

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 64999 and 65003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64999 and 65003, than apply into the LCM equation.

GCF(64999,65003) = 1
LCM(64999,65003) = ( 64999 × 65003) / 1
LCM(64999,65003) = 4225129997 / 1
LCM(64999,65003) = 4225129997

Least Common Multiple (LCM) of 64999 and 65003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64999 and 65003. First we will calculate the prime factors of 64999 and 65003.

Prime Factorization of 64999

Prime Factorization of 65003

Now multiplying the highest exponent prime factors to calculate the LCM of 64999 and 65003.

LCM(64999,65003) = 11¹ × 19¹ × 311¹ × 65003¹
LCM(64999,65003) = 4225129997