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What is the Least Common Multiple of 2451 and 2460?

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 2451 and 2460 is 2009820.

LCM(2451,2460) = 2009820

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Least Common Multiple of 2451 and 2460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2451 and 2460, than apply into the LCM equation.

GCF(2451,2460) = 3
LCM(2451,2460) = ( 2451 × 2460) / 3
LCM(2451,2460) = 6029460 / 3
LCM(2451,2460) = 2009820

Least Common Multiple (LCM) of 2451 and 2460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2451 and 2460. First we will calculate the prime factors of 2451 and 2460.

Prime Factorization of 2451

Prime factors of 2451 are 3, 19, 43. Prime factorization of 2451 in exponential form is:

2451 = 31 × 191 × 431

Prime Factorization of 2460

Prime factors of 2460 are 2, 3, 5, 41. Prime factorization of 2460 in exponential form is:

2460 = 22 × 31 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 2451 and 2460.

LCM(2451,2460) = 31 × 191 × 431 × 22 × 51 × 411
LCM(2451,2460) = 2009820