What is the Least Common Multiple of 84705 and 84709?

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 84705 and 84709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84705 and 84709, than apply into the LCM equation.

GCF(84705,84709) = 1
LCM(84705,84709) = ( 84705 × 84709) / 1
LCM(84705,84709) = 7175275845 / 1
LCM(84705,84709) = 7175275845

Least Common Multiple (LCM) of 84705 and 84709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84705 and 84709. First we will calculate the prime factors of 84705 and 84709.

Prime Factorization of 84705

Prime Factorization of 84709

Now multiplying the highest exponent prime factors to calculate the LCM of 84705 and 84709.

LCM(84705,84709) = 3¹ × 5¹ × 5647¹ × 23¹ × 29¹ × 127¹
LCM(84705,84709) = 7175275845