What is the Least Common Multiple of 84319 and 84331?

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 84319 and 84331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84319 and 84331, than apply into the LCM equation.

GCF(84319,84331) = 1
LCM(84319,84331) = ( 84319 × 84331) / 1
LCM(84319,84331) = 7110705589 / 1
LCM(84319,84331) = 7110705589

Least Common Multiple (LCM) of 84319 and 84331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84319 and 84331. First we will calculate the prime factors of 84319 and 84331.

Prime Factorization of 84319

Prime Factorization of 84331

Now multiplying the highest exponent prime factors to calculate the LCM of 84319 and 84331.

LCM(84319,84331) = 84319¹ × 13² × 499¹
LCM(84319,84331) = 7110705589