What is the Least Common Multiple of 84549 and 84554?

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 84549 and 84554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84549 and 84554, than apply into the LCM equation.

GCF(84549,84554) = 1
LCM(84549,84554) = ( 84549 × 84554) / 1
LCM(84549,84554) = 7148956146 / 1
LCM(84549,84554) = 7148956146

Least Common Multiple (LCM) of 84549 and 84554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84549 and 84554. First we will calculate the prime factors of 84549 and 84554.

Prime Factorization of 84549

Prime Factorization of 84554

Now multiplying the highest exponent prime factors to calculate the LCM of 84549 and 84554.

LCM(84549,84554) = 3¹ × 28183¹ × 2¹ × 67¹ × 631¹
LCM(84549,84554) = 7148956146