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What is the Least Common Multiple of 2633 and 2641?

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 2633 and 2641 is 6953753.

LCM(2633,2641) = 6953753

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Least Common Multiple of 2633 and 2641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2633 and 2641, than apply into the LCM equation.

GCF(2633,2641) = 1
LCM(2633,2641) = ( 2633 × 2641) / 1
LCM(2633,2641) = 6953753 / 1
LCM(2633,2641) = 6953753

Least Common Multiple (LCM) of 2633 and 2641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2633 and 2641. First we will calculate the prime factors of 2633 and 2641.

Prime Factorization of 2633

Prime factors of 2633 are 2633. Prime factorization of 2633 in exponential form is:

2633 = 26331

Prime Factorization of 2641

Prime factors of 2641 are 19, 139. Prime factorization of 2641 in exponential form is:

2641 = 191 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2633 and 2641.

LCM(2633,2641) = 26331 × 191 × 1391
LCM(2633,2641) = 6953753