What is the Least Common Multiple of 83049 and 83055?

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 83049 and 83055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83049 and 83055, than apply into the LCM equation.

GCF(83049,83055) = 3
LCM(83049,83055) = ( 83049 × 83055) / 3
LCM(83049,83055) = 6897634695 / 3
LCM(83049,83055) = 2299211565

Least Common Multiple (LCM) of 83049 and 83055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83049 and 83055. First we will calculate the prime factors of 83049 and 83055.

Prime Factorization of 83049

Prime Factorization of 83055

Now multiplying the highest exponent prime factors to calculate the LCM of 83049 and 83055.

LCM(83049,83055) = 3¹ × 19¹ × 31¹ × 47¹ × 5¹ × 7² × 113¹
LCM(83049,83055) = 2299211565