What is the Least Common Multiple of 83419 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 83419 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 83419 and 83436, than apply into the LCM equation.

GCF(83419,83436) = 17
LCM(83419,83436) = ( 83419 × 83436) / 17
LCM(83419,83436) = 6960147684 / 17
LCM(83419,83436) = 409420452

Least Common Multiple (LCM) of 83419 and 83436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83419 and 83436. First we will calculate the prime factors of 83419 and 83436.

Prime Factorization of 83419

Prime Factorization of 83436

Now multiplying the highest exponent prime factors to calculate the LCM of 83419 and 83436.

LCM(83419,83436) = 7¹ × 17¹ × 701¹ × 2² × 3¹ × 409¹
LCM(83419,83436) = 409420452