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What is the Least Common Multiple of 2461 and 2476?

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 2461 and 2476 is 6093436.

LCM(2461,2476) = 6093436

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Least Common Multiple of 2461 and 2476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2461 and 2476, than apply into the LCM equation.

GCF(2461,2476) = 1
LCM(2461,2476) = ( 2461 × 2476) / 1
LCM(2461,2476) = 6093436 / 1
LCM(2461,2476) = 6093436

Least Common Multiple (LCM) of 2461 and 2476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2461 and 2476. First we will calculate the prime factors of 2461 and 2476.

Prime Factorization of 2461

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

2461 = 231 × 1071

Prime Factorization of 2476

Prime factors of 2476 are 2, 619. Prime factorization of 2476 in exponential form is:

2476 = 22 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 2461 and 2476.

LCM(2461,2476) = 231 × 1071 × 22 × 6191
LCM(2461,2476) = 6093436