What is the Least Common Multiple of 84419 and 84436?

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 84419 and 84436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84419 and 84436, than apply into the LCM equation.

GCF(84419,84436) = 1
LCM(84419,84436) = ( 84419 × 84436) / 1
LCM(84419,84436) = 7128002684 / 1
LCM(84419,84436) = 7128002684

Least Common Multiple (LCM) of 84419 and 84436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84419 and 84436. First we will calculate the prime factors of 84419 and 84436.

Prime Factorization of 84419

Prime Factorization of 84436

Now multiplying the highest exponent prime factors to calculate the LCM of 84419 and 84436.

LCM(84419,84436) = 29¹ × 41¹ × 71¹ × 2² × 11¹ × 19¹ × 101¹
LCM(84419,84436) = 7128002684