What is the Least Common Multiple of 83469 and 83478?

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 83478 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 83478, than apply into the LCM equation.

GCF(83469,83478) = 3
LCM(83469,83478) = ( 83469 × 83478) / 3
LCM(83469,83478) = 6967825182 / 3
LCM(83469,83478) = 2322608394

Least Common Multiple (LCM) of 83469 and 83478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83469 and 83478. First we will calculate the prime factors of 83469 and 83478.

Prime Factorization of 83469

Prime Factorization of 83478

Now multiplying the highest exponent prime factors to calculate the LCM of 83469 and 83478.

LCM(83469,83478) = 3¹ × 27823¹ × 2¹ × 13913¹
LCM(83469,83478) = 2322608394