What is the Least Common Multiple of 83228 and 83240?

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 83228 and 83240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83228 and 83240, than apply into the LCM equation.

GCF(83228,83240) = 4
LCM(83228,83240) = ( 83228 × 83240) / 4
LCM(83228,83240) = 6927898720 / 4
LCM(83228,83240) = 1731974680

Least Common Multiple (LCM) of 83228 and 83240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83228 and 83240. First we will calculate the prime factors of 83228 and 83240.

Prime Factorization of 83228

Prime Factorization of 83240

Now multiplying the highest exponent prime factors to calculate the LCM of 83228 and 83240.

LCM(83228,83240) = 2³ × 20807¹ × 5¹ × 2081¹
LCM(83228,83240) = 1731974680