What is the Least Common Multiple of 84489 and 84507?

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 84489 and 84507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84489 and 84507, than apply into the LCM equation.

GCF(84489,84507) = 3
LCM(84489,84507) = ( 84489 × 84507) / 3
LCM(84489,84507) = 7139911923 / 3
LCM(84489,84507) = 2379970641

Least Common Multiple (LCM) of 84489 and 84507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84489 and 84507. First we will calculate the prime factors of 84489 and 84507.

Prime Factorization of 84489

Prime Factorization of 84507

Now multiplying the highest exponent prime factors to calculate the LCM of 84489 and 84507.

LCM(84489,84507) = 3¹ × 28163¹ × 17¹ × 1657¹
LCM(84489,84507) = 2379970641