What is the Least Common Multiple of 58359 and 58370?

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 58359 and 58370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58359 and 58370, than apply into the LCM equation.

GCF(58359,58370) = 1
LCM(58359,58370) = ( 58359 × 58370) / 1
LCM(58359,58370) = 3406414830 / 1
LCM(58359,58370) = 3406414830

Least Common Multiple (LCM) of 58359 and 58370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58359 and 58370. First we will calculate the prime factors of 58359 and 58370.

Prime Factorization of 58359

Prime Factorization of 58370

Now multiplying the highest exponent prime factors to calculate the LCM of 58359 and 58370.

LCM(58359,58370) = 3¹ × 7² × 397¹ × 2¹ × 5¹ × 13¹ × 449¹
LCM(58359,58370) = 3406414830