What is the Least Common Multiple of 83409 and 83429?

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 83409 and 83429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83409 and 83429, than apply into the LCM equation.

GCF(83409,83429) = 1
LCM(83409,83429) = ( 83409 × 83429) / 1
LCM(83409,83429) = 6958729461 / 1
LCM(83409,83429) = 6958729461

Least Common Multiple (LCM) of 83409 and 83429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83409 and 83429. First we will calculate the prime factors of 83409 and 83429.

Prime Factorization of 83409

Prime Factorization of 83429

Now multiplying the highest exponent prime factors to calculate the LCM of 83409 and 83429.

LCM(83409,83429) = 3¹ × 27803¹ × 19¹ × 4391¹
LCM(83409,83429) = 6958729461