What is the Least Common Multiple of 58845 and 58857?

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 58845 and 58857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58845 and 58857, than apply into the LCM equation.

GCF(58845,58857) = 3
LCM(58845,58857) = ( 58845 × 58857) / 3
LCM(58845,58857) = 3463440165 / 3
LCM(58845,58857) = 1154480055

Least Common Multiple (LCM) of 58845 and 58857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58845 and 58857. First we will calculate the prime factors of 58845 and 58857.

Prime Factorization of 58845

Prime Factorization of 58857

Now multiplying the highest exponent prime factors to calculate the LCM of 58845 and 58857.

LCM(58845,58857) = 3¹ × 5¹ × 3923¹ × 23¹ × 853¹
LCM(58845,58857) = 1154480055