What is the Least Common Multiple of 84493 and 84499?

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 84493 and 84499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84493 and 84499, than apply into the LCM equation.

GCF(84493,84499) = 1
LCM(84493,84499) = ( 84493 × 84499) / 1
LCM(84493,84499) = 7139574007 / 1
LCM(84493,84499) = 7139574007

Least Common Multiple (LCM) of 84493 and 84499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84493 and 84499. First we will calculate the prime factors of 84493 and 84499.

Prime Factorization of 84493

Prime Factorization of 84499

Now multiplying the highest exponent prime factors to calculate the LCM of 84493 and 84499.

LCM(84493,84499) = 19¹ × 4447¹ × 84499¹
LCM(84493,84499) = 7139574007