What is the Least Common Multiple of 58362 and 58377?

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 58362 and 58377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58362 and 58377, than apply into the LCM equation.

GCF(58362,58377) = 3
LCM(58362,58377) = ( 58362 × 58377) / 3
LCM(58362,58377) = 3406998474 / 3
LCM(58362,58377) = 1135666158

Least Common Multiple (LCM) of 58362 and 58377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58362 and 58377. First we will calculate the prime factors of 58362 and 58377.

Prime Factorization of 58362

Prime Factorization of 58377

Now multiplying the highest exponent prime factors to calculate the LCM of 58362 and 58377.

LCM(58362,58377) = 2¹ × 3¹ × 71¹ × 137¹ × 11¹ × 29¹ × 61¹
LCM(58362,58377) = 1135666158