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What is the Least Common Multiple of 2462 and 2467?

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 2462 and 2467 is 6073754.

LCM(2462,2467) = 6073754

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Least Common Multiple of 2462 and 2467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2462 and 2467, than apply into the LCM equation.

GCF(2462,2467) = 1
LCM(2462,2467) = ( 2462 × 2467) / 1
LCM(2462,2467) = 6073754 / 1
LCM(2462,2467) = 6073754

Least Common Multiple (LCM) of 2462 and 2467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2462 and 2467. First we will calculate the prime factors of 2462 and 2467.

Prime Factorization of 2462

Prime factors of 2462 are 2, 1231. Prime factorization of 2462 in exponential form is:

2462 = 21 × 12311

Prime Factorization of 2467

Prime factors of 2467 are 2467. Prime factorization of 2467 in exponential form is:

2467 = 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 2462 and 2467.

LCM(2462,2467) = 21 × 12311 × 24671
LCM(2462,2467) = 6073754