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What is the Least Common Multiple of 2463 and 2480?

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 2463 and 2480 is 6108240.

LCM(2463,2480) = 6108240

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Least Common Multiple of 2463 and 2480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2463 and 2480, than apply into the LCM equation.

GCF(2463,2480) = 1
LCM(2463,2480) = ( 2463 × 2480) / 1
LCM(2463,2480) = 6108240 / 1
LCM(2463,2480) = 6108240

Least Common Multiple (LCM) of 2463 and 2480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2463 and 2480. First we will calculate the prime factors of 2463 and 2480.

Prime Factorization of 2463

Prime factors of 2463 are 3, 821. Prime factorization of 2463 in exponential form is:

2463 = 31 × 8211

Prime Factorization of 2480

Prime factors of 2480 are 2, 5, 31. Prime factorization of 2480 in exponential form is:

2480 = 24 × 51 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 2463 and 2480.

LCM(2463,2480) = 31 × 8211 × 24 × 51 × 311
LCM(2463,2480) = 6108240