What is the Least Common Multiple of 84546 and 84566?

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 84546 and 84566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84546 and 84566, than apply into the LCM equation.

GCF(84546,84566) = 2
LCM(84546,84566) = ( 84546 × 84566) / 2
LCM(84546,84566) = 7149717036 / 2
LCM(84546,84566) = 3574858518

Least Common Multiple (LCM) of 84546 and 84566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84546 and 84566. First we will calculate the prime factors of 84546 and 84566.

Prime Factorization of 84546

Prime Factorization of 84566

Now multiplying the highest exponent prime factors to calculate the LCM of 84546 and 84566.

LCM(84546,84566) = 2¹ × 3² × 7¹ × 11¹ × 61¹ × 42283¹
LCM(84546,84566) = 3574858518