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What is the Least Common Multiple of 2453 and 2461?

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 2453 and 2461 is 6036833.

LCM(2453,2461) = 6036833

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Least Common Multiple of 2453 and 2461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2453 and 2461, than apply into the LCM equation.

GCF(2453,2461) = 1
LCM(2453,2461) = ( 2453 × 2461) / 1
LCM(2453,2461) = 6036833 / 1
LCM(2453,2461) = 6036833

Least Common Multiple (LCM) of 2453 and 2461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2453 and 2461. First we will calculate the prime factors of 2453 and 2461.

Prime Factorization of 2453

Prime factors of 2453 are 11, 223. Prime factorization of 2453 in exponential form is:

2453 = 111 × 2231

Prime Factorization of 2461

Prime factors of 2461 are 23, 107. Prime factorization of 2461 in exponential form is:

2461 = 231 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2453 and 2461.

LCM(2453,2461) = 111 × 2231 × 231 × 1071
LCM(2453,2461) = 6036833