What is the Least Common Multiple of 83469 and 83477?

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 83469 and 83477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83469 and 83477, than apply into the LCM equation.

GCF(83469,83477) = 1
LCM(83469,83477) = ( 83469 × 83477) / 1
LCM(83469,83477) = 6967741713 / 1
LCM(83469,83477) = 6967741713

Least Common Multiple (LCM) of 83469 and 83477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83469 and 83477. First we will calculate the prime factors of 83469 and 83477.

Prime Factorization of 83469

Prime Factorization of 83477

Now multiplying the highest exponent prime factors to calculate the LCM of 83469 and 83477.

LCM(83469,83477) = 3¹ × 27823¹ × 83477¹
LCM(83469,83477) = 6967741713