What is the Least Common Multiple of 84657 and 84669?

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 84657 and 84669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84657 and 84669, than apply into the LCM equation.

GCF(84657,84669) = 3
LCM(84657,84669) = ( 84657 × 84669) / 3
LCM(84657,84669) = 7167823533 / 3
LCM(84657,84669) = 2389274511

Least Common Multiple (LCM) of 84657 and 84669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84657 and 84669. First we will calculate the prime factors of 84657 and 84669.

Prime Factorization of 84657

Prime Factorization of 84669

Now multiplying the highest exponent prime factors to calculate the LCM of 84657 and 84669.

LCM(84657,84669) = 3¹ × 28219¹ × 13² × 167¹
LCM(84657,84669) = 2389274511