What is the Least Common Multiple of 84489 and 84506?

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 84506 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 84506, than apply into the LCM equation.

GCF(84489,84506) = 1
LCM(84489,84506) = ( 84489 × 84506) / 1
LCM(84489,84506) = 7139827434 / 1
LCM(84489,84506) = 7139827434

Least Common Multiple (LCM) of 84489 and 84506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84489 and 84506. First we will calculate the prime factors of 84489 and 84506.

Prime Factorization of 84489

Prime Factorization of 84506

Now multiplying the highest exponent prime factors to calculate the LCM of 84489 and 84506.

LCM(84489,84506) = 3¹ × 28163¹ × 2¹ × 29¹ × 31¹ × 47¹
LCM(84489,84506) = 7139827434