What is the Least Common Multiple of 84870 and 84886?

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 84870 and 84886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84870 and 84886, than apply into the LCM equation.

GCF(84870,84886) = 2
LCM(84870,84886) = ( 84870 × 84886) / 2
LCM(84870,84886) = 7204274820 / 2
LCM(84870,84886) = 3602137410

Least Common Multiple (LCM) of 84870 and 84886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84870 and 84886. First we will calculate the prime factors of 84870 and 84886.

Prime Factorization of 84870

Prime Factorization of 84886

Now multiplying the highest exponent prime factors to calculate the LCM of 84870 and 84886.

LCM(84870,84886) = 2¹ × 3² × 5¹ × 23¹ × 41¹ × 42443¹
LCM(84870,84886) = 3602137410