What is the Least Common Multiple of 84355 and 84373?

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 84355 and 84373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84355 and 84373, than apply into the LCM equation.

GCF(84355,84373) = 1
LCM(84355,84373) = ( 84355 × 84373) / 1
LCM(84355,84373) = 7117284415 / 1
LCM(84355,84373) = 7117284415

Least Common Multiple (LCM) of 84355 and 84373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84355 and 84373. First we will calculate the prime factors of 84355 and 84373.

Prime Factorization of 84355

Prime Factorization of 84373

Now multiplying the highest exponent prime factors to calculate the LCM of 84355 and 84373.

LCM(84355,84373) = 5¹ × 16871¹ × 139¹ × 607¹
LCM(84355,84373) = 7117284415