What is the Least Common Multiple of 84320 and 84335?

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 84320 and 84335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84320 and 84335, than apply into the LCM equation.

GCF(84320,84335) = 5
LCM(84320,84335) = ( 84320 × 84335) / 5
LCM(84320,84335) = 7111127200 / 5
LCM(84320,84335) = 1422225440

Least Common Multiple (LCM) of 84320 and 84335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84320 and 84335. First we will calculate the prime factors of 84320 and 84335.

Prime Factorization of 84320

Prime Factorization of 84335

Now multiplying the highest exponent prime factors to calculate the LCM of 84320 and 84335.

LCM(84320,84335) = 2⁵ × 5¹ × 17¹ × 31¹ × 101¹ × 167¹
LCM(84320,84335) = 1422225440