What is the Least Common Multiple of 58348 and 58366?

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 58348 and 58366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58348 and 58366, than apply into the LCM equation.

GCF(58348,58366) = 2
LCM(58348,58366) = ( 58348 × 58366) / 2
LCM(58348,58366) = 3405539368 / 2
LCM(58348,58366) = 1702769684

Least Common Multiple (LCM) of 58348 and 58366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58348 and 58366. First we will calculate the prime factors of 58348 and 58366.

Prime Factorization of 58348

Prime Factorization of 58366

Now multiplying the highest exponent prime factors to calculate the LCM of 58348 and 58366.

LCM(58348,58366) = 2² × 29¹ × 503¹ × 7¹ × 11¹ × 379¹
LCM(58348,58366) = 1702769684