What is the Least Common Multiple of 58269 and 58280?

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 58269 and 58280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58269 and 58280, than apply into the LCM equation.

GCF(58269,58280) = 1
LCM(58269,58280) = ( 58269 × 58280) / 1
LCM(58269,58280) = 3395917320 / 1
LCM(58269,58280) = 3395917320

Least Common Multiple (LCM) of 58269 and 58280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58269 and 58280. First we will calculate the prime factors of 58269 and 58280.

Prime Factorization of 58269

Prime Factorization of 58280

Now multiplying the highest exponent prime factors to calculate the LCM of 58269 and 58280.

LCM(58269,58280) = 3¹ × 19423¹ × 2³ × 5¹ × 31¹ × 47¹
LCM(58269,58280) = 3395917320