What is the Least Common Multiple of 2840 and 2860?

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 2840 and 2860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2840 and 2860, than apply into the LCM equation.

GCF(2840,2860) = 20
LCM(2840,2860) = ( 2840 × 2860) / 20
LCM(2840,2860) = 8122400 / 20
LCM(2840,2860) = 406120

Least Common Multiple (LCM) of 2840 and 2860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2840 and 2860. First we will calculate the prime factors of 2840 and 2860.

Prime Factorization of 2840

Prime Factorization of 2860

Now multiplying the highest exponent prime factors to calculate the LCM of 2840 and 2860.

LCM(2840,2860) = 2³ × 5¹ × 71¹ × 11¹ × 13¹
LCM(2840,2860) = 406120