What is the Least Common Multiple of 83436 and 83446?

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 83436 and 83446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83436 and 83446, than apply into the LCM equation.

GCF(83436,83446) = 2
LCM(83436,83446) = ( 83436 × 83446) / 2
LCM(83436,83446) = 6962400456 / 2
LCM(83436,83446) = 3481200228

Least Common Multiple (LCM) of 83436 and 83446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83436 and 83446. First we will calculate the prime factors of 83436 and 83446.

Prime Factorization of 83436

Prime Factorization of 83446

Now multiplying the highest exponent prime factors to calculate the LCM of 83436 and 83446.

LCM(83436,83446) = 2² × 3¹ × 17¹ × 409¹ × 11¹ × 3793¹
LCM(83436,83446) = 3481200228