What is the Least Common Multiple of 65067 and 65073?

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 65067 and 65073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65067 and 65073, than apply into the LCM equation.

GCF(65067,65073) = 3
LCM(65067,65073) = ( 65067 × 65073) / 3
LCM(65067,65073) = 4234104891 / 3
LCM(65067,65073) = 1411368297

Least Common Multiple (LCM) of 65067 and 65073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65067 and 65073. First we will calculate the prime factors of 65067 and 65073.

Prime Factorization of 65067

Prime Factorization of 65073

Now multiplying the highest exponent prime factors to calculate the LCM of 65067 and 65073.

LCM(65067,65073) = 3¹ × 23² × 41¹ × 109¹ × 199¹
LCM(65067,65073) = 1411368297