What is the Least Common Multiple of 83055 and 83073?

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 83055 and 83073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83055 and 83073, than apply into the LCM equation.

GCF(83055,83073) = 3
LCM(83055,83073) = ( 83055 × 83073) / 3
LCM(83055,83073) = 6899628015 / 3
LCM(83055,83073) = 2299876005

Least Common Multiple (LCM) of 83055 and 83073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83055 and 83073. First we will calculate the prime factors of 83055 and 83073.

Prime Factorization of 83055

Prime Factorization of 83073

Now multiplying the highest exponent prime factors to calculate the LCM of 83055 and 83073.

LCM(83055,83073) = 3¹ × 5¹ × 7² × 113¹ × 27691¹
LCM(83055,83073) = 2299876005