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What is the Least Common Multiple of 2855 and 2874?

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 2855 and 2874 is 8205270.

LCM(2855,2874) = 8205270

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Least Common Multiple of 2855 and 2874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2855 and 2874, than apply into the LCM equation.

GCF(2855,2874) = 1
LCM(2855,2874) = ( 2855 × 2874) / 1
LCM(2855,2874) = 8205270 / 1
LCM(2855,2874) = 8205270

Least Common Multiple (LCM) of 2855 and 2874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2855 and 2874. First we will calculate the prime factors of 2855 and 2874.

Prime Factorization of 2855

Prime factors of 2855 are 5, 571. Prime factorization of 2855 in exponential form is:

2855 = 51 × 5711

Prime Factorization of 2874

Prime factors of 2874 are 2, 3, 479. Prime factorization of 2874 in exponential form is:

2874 = 21 × 31 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 2855 and 2874.

LCM(2855,2874) = 51 × 5711 × 21 × 31 × 4791
LCM(2855,2874) = 8205270