What is the Least Common Multiple of 83474 and 83483?

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 83474 and 83483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83474 and 83483, than apply into the LCM equation.

GCF(83474,83483) = 1
LCM(83474,83483) = ( 83474 × 83483) / 1
LCM(83474,83483) = 6968659942 / 1
LCM(83474,83483) = 6968659942

Least Common Multiple (LCM) of 83474 and 83483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83474 and 83483. First we will calculate the prime factors of 83474 and 83483.

Prime Factorization of 83474

Prime Factorization of 83483

Now multiplying the highest exponent prime factors to calculate the LCM of 83474 and 83483.

LCM(83474,83483) = 2¹ × 41737¹ × 31¹ × 2693¹
LCM(83474,83483) = 6968659942