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What is the Least Common Multiple of 2834 and 2854?

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 2834 and 2854 is 4044118.

LCM(2834,2854) = 4044118

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Least Common Multiple of 2834 and 2854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2834 and 2854, than apply into the LCM equation.

GCF(2834,2854) = 2
LCM(2834,2854) = ( 2834 × 2854) / 2
LCM(2834,2854) = 8088236 / 2
LCM(2834,2854) = 4044118

Least Common Multiple (LCM) of 2834 and 2854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2834 and 2854. First we will calculate the prime factors of 2834 and 2854.

Prime Factorization of 2834

Prime factors of 2834 are 2, 13, 109. Prime factorization of 2834 in exponential form is:

2834 = 21 × 131 × 1091

Prime Factorization of 2854

Prime factors of 2854 are 2, 1427. Prime factorization of 2854 in exponential form is:

2854 = 21 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 2834 and 2854.

LCM(2834,2854) = 21 × 131 × 1091 × 14271
LCM(2834,2854) = 4044118