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What is the Least Common Multiple of 2541 and 2554?

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 2541 and 2554 is 6489714.

LCM(2541,2554) = 6489714

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Least Common Multiple of 2541 and 2554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2541 and 2554, than apply into the LCM equation.

GCF(2541,2554) = 1
LCM(2541,2554) = ( 2541 × 2554) / 1
LCM(2541,2554) = 6489714 / 1
LCM(2541,2554) = 6489714

Least Common Multiple (LCM) of 2541 and 2554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2541 and 2554. First we will calculate the prime factors of 2541 and 2554.

Prime Factorization of 2541

Prime factors of 2541 are 3, 7, 11. Prime factorization of 2541 in exponential form is:

2541 = 31 × 71 × 112

Prime Factorization of 2554

Prime factors of 2554 are 2, 1277. Prime factorization of 2554 in exponential form is:

2554 = 21 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 2541 and 2554.

LCM(2541,2554) = 31 × 71 × 112 × 21 × 12771
LCM(2541,2554) = 6489714