What is the Least Common Multiple of 84065 and 84073?

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 84065 and 84073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84065 and 84073, than apply into the LCM equation.

GCF(84065,84073) = 1
LCM(84065,84073) = ( 84065 × 84073) / 1
LCM(84065,84073) = 7067596745 / 1
LCM(84065,84073) = 7067596745

Least Common Multiple (LCM) of 84065 and 84073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84065 and 84073. First we will calculate the prime factors of 84065 and 84073.

Prime Factorization of 84065

Prime Factorization of 84073

Now multiplying the highest exponent prime factors to calculate the LCM of 84065 and 84073.

LCM(84065,84073) = 5¹ × 17¹ × 23¹ × 43¹ × 11¹ × 7643¹
LCM(84065,84073) = 7067596745