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What is the Least Common Multiple of 2642 and 2654?

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 2642 and 2654 is 3505934.

LCM(2642,2654) = 3505934

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Least Common Multiple of 2642 and 2654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2642 and 2654, than apply into the LCM equation.

GCF(2642,2654) = 2
LCM(2642,2654) = ( 2642 × 2654) / 2
LCM(2642,2654) = 7011868 / 2
LCM(2642,2654) = 3505934

Least Common Multiple (LCM) of 2642 and 2654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2642 and 2654. First we will calculate the prime factors of 2642 and 2654.

Prime Factorization of 2642

Prime factors of 2642 are 2, 1321. Prime factorization of 2642 in exponential form is:

2642 = 21 × 13211

Prime Factorization of 2654

Prime factors of 2654 are 2, 1327. Prime factorization of 2654 in exponential form is:

2654 = 21 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 2642 and 2654.

LCM(2642,2654) = 21 × 13211 × 13271
LCM(2642,2654) = 3505934