What is the Least Common Multiple of 84402 and 84419?

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 84402 and 84419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84402 and 84419, than apply into the LCM equation.

GCF(84402,84419) = 1
LCM(84402,84419) = ( 84402 × 84419) / 1
LCM(84402,84419) = 7125132438 / 1
LCM(84402,84419) = 7125132438

Least Common Multiple (LCM) of 84402 and 84419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84402 and 84419. First we will calculate the prime factors of 84402 and 84419.

Prime Factorization of 84402

Prime Factorization of 84419

Now multiplying the highest exponent prime factors to calculate the LCM of 84402 and 84419.

LCM(84402,84419) = 2¹ × 3⁴ × 521¹ × 29¹ × 41¹ × 71¹
LCM(84402,84419) = 7125132438