What is the Least Common Multiple of 83431 and 83436?

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 83431 and 83436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83431 and 83436, than apply into the LCM equation.

GCF(83431,83436) = 1
LCM(83431,83436) = ( 83431 × 83436) / 1
LCM(83431,83436) = 6961148916 / 1
LCM(83431,83436) = 6961148916

Least Common Multiple (LCM) of 83431 and 83436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83431 and 83436. First we will calculate the prime factors of 83431 and 83436.

Prime Factorization of 83431

Prime Factorization of 83436

Now multiplying the highest exponent prime factors to calculate the LCM of 83431 and 83436.

LCM(83431,83436) = 83431¹ × 2² × 3¹ × 17¹ × 409¹
LCM(83431,83436) = 6961148916