What is the Least Common Multiple of 2820 and 2829?

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 2820 and 2829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2820 and 2829, than apply into the LCM equation.

GCF(2820,2829) = 3
LCM(2820,2829) = ( 2820 × 2829) / 3
LCM(2820,2829) = 7977780 / 3
LCM(2820,2829) = 2659260

Least Common Multiple (LCM) of 2820 and 2829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2820 and 2829. First we will calculate the prime factors of 2820 and 2829.

Prime Factorization of 2820

Prime Factorization of 2829

Now multiplying the highest exponent prime factors to calculate the LCM of 2820 and 2829.

LCM(2820,2829) = 2² × 3¹ × 5¹ × 47¹ × 23¹ × 41¹
LCM(2820,2829) = 2659260