What is the Least Common Multiple of 58815 and 58821?

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 58815 and 58821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58815 and 58821, than apply into the LCM equation.

GCF(58815,58821) = 3
LCM(58815,58821) = ( 58815 × 58821) / 3
LCM(58815,58821) = 3459557115 / 3
LCM(58815,58821) = 1153185705

Least Common Multiple (LCM) of 58815 and 58821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58815 and 58821. First we will calculate the prime factors of 58815 and 58821.

Prime Factorization of 58815

Prime Factorization of 58821

Now multiplying the highest exponent prime factors to calculate the LCM of 58815 and 58821.

LCM(58815,58821) = 3² × 5¹ × 1307¹ × 7¹ × 2801¹
LCM(58815,58821) = 1153185705