What is the Least Common Multiple of 2805 and 2820?

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 2805 and 2820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2805 and 2820, than apply into the LCM equation.

GCF(2805,2820) = 15
LCM(2805,2820) = ( 2805 × 2820) / 15
LCM(2805,2820) = 7910100 / 15
LCM(2805,2820) = 527340

Least Common Multiple (LCM) of 2805 and 2820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2805 and 2820. First we will calculate the prime factors of 2805 and 2820.

Prime Factorization of 2805

Prime Factorization of 2820

Now multiplying the highest exponent prime factors to calculate the LCM of 2805 and 2820.

LCM(2805,2820) = 3¹ × 5¹ × 11¹ × 17¹ × 2² × 47¹
LCM(2805,2820) = 527340