What is the Least Common Multiple of 2820 and 2830?

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 2830 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 2830, than apply into the LCM equation.

GCF(2820,2830) = 10
LCM(2820,2830) = ( 2820 × 2830) / 10
LCM(2820,2830) = 7980600 / 10
LCM(2820,2830) = 798060

Least Common Multiple (LCM) of 2820 and 2830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2820 and 2830. First we will calculate the prime factors of 2820 and 2830.

Prime Factorization of 2820

Prime Factorization of 2830

Now multiplying the highest exponent prime factors to calculate the LCM of 2820 and 2830.

LCM(2820,2830) = 2² × 3¹ × 5¹ × 47¹ × 283¹
LCM(2820,2830) = 798060