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What is the Least Common Multiple of 2781 and 2787?

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 2781 and 2787 is 2583549.

LCM(2781,2787) = 2583549

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Least Common Multiple of 2781 and 2787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2781 and 2787, than apply into the LCM equation.

GCF(2781,2787) = 3
LCM(2781,2787) = ( 2781 × 2787) / 3
LCM(2781,2787) = 7750647 / 3
LCM(2781,2787) = 2583549

Least Common Multiple (LCM) of 2781 and 2787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2781 and 2787. First we will calculate the prime factors of 2781 and 2787.

Prime Factorization of 2781

Prime factors of 2781 are 3, 103. Prime factorization of 2781 in exponential form is:

2781 = 33 × 1031

Prime Factorization of 2787

Prime factors of 2787 are 3, 929. Prime factorization of 2787 in exponential form is:

2787 = 31 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 2781 and 2787.

LCM(2781,2787) = 33 × 1031 × 9291
LCM(2781,2787) = 2583549