What is the Least Common Multiple of 84489 and 84505?

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 84505 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 84505, than apply into the LCM equation.

GCF(84489,84505) = 1
LCM(84489,84505) = ( 84489 × 84505) / 1
LCM(84489,84505) = 7139742945 / 1
LCM(84489,84505) = 7139742945

Least Common Multiple (LCM) of 84489 and 84505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84489 and 84505. First we will calculate the prime factors of 84489 and 84505.

Prime Factorization of 84489

Prime Factorization of 84505

Now multiplying the highest exponent prime factors to calculate the LCM of 84489 and 84505.

LCM(84489,84505) = 3¹ × 28163¹ × 5¹ × 16901¹
LCM(84489,84505) = 7139742945