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What is the Least Common Multiple of 2860 and 2872?

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 (LCM) of 2860 and 2872 is 2053480.

LCM(2860,2872) = 2053480

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Least Common Multiple of 2860 and 2872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2860 and 2872, than apply into the LCM equation.

GCF(2860,2872) = 4
LCM(2860,2872) = ( 2860 × 2872) / 4
LCM(2860,2872) = 8213920 / 4
LCM(2860,2872) = 2053480

Least Common Multiple (LCM) of 2860 and 2872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2860 and 2872. First we will calculate the prime factors of 2860 and 2872.

Prime Factorization of 2860

Prime factors of 2860 are 2, 5, 11, 13. Prime factorization of 2860 in exponential form is:

2860 = 22 × 51 × 111 × 131

Prime Factorization of 2872

Prime factors of 2872 are 2, 359. Prime factorization of 2872 in exponential form is:

2872 = 23 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 2860 and 2872.

LCM(2860,2872) = 23 × 51 × 111 × 131 × 3591
LCM(2860,2872) = 2053480