What is the Least Common Multiple of 58365 and 58383?

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 58365 and 58383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58365 and 58383, than apply into the LCM equation.

GCF(58365,58383) = 9
LCM(58365,58383) = ( 58365 × 58383) / 9
LCM(58365,58383) = 3407523795 / 9
LCM(58365,58383) = 378613755

Least Common Multiple (LCM) of 58365 and 58383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58365 and 58383. First we will calculate the prime factors of 58365 and 58383.

Prime Factorization of 58365

Prime Factorization of 58383

Now multiplying the highest exponent prime factors to calculate the LCM of 58365 and 58383.

LCM(58365,58383) = 3² × 5¹ × 1297¹ × 13¹ × 499¹
LCM(58365,58383) = 378613755