What is the Least Common Multiple of 10815 and 10821?

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 10815 and 10821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10815 and 10821, than apply into the LCM equation.

GCF(10815,10821) = 3
LCM(10815,10821) = ( 10815 × 10821) / 3
LCM(10815,10821) = 117029115 / 3
LCM(10815,10821) = 39009705

Least Common Multiple (LCM) of 10815 and 10821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10815 and 10821. First we will calculate the prime factors of 10815 and 10821.

Prime Factorization of 10815

Prime Factorization of 10821

Now multiplying the highest exponent prime factors to calculate the LCM of 10815 and 10821.

LCM(10815,10821) = 3¹ × 5¹ × 7¹ × 103¹ × 3607¹
LCM(10815,10821) = 39009705