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What is the Least Common Multiple of 2468 and 2484?

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 2468 and 2484 is 1532628.

LCM(2468,2484) = 1532628

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Least Common Multiple of 2468 and 2484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2468 and 2484, than apply into the LCM equation.

GCF(2468,2484) = 4
LCM(2468,2484) = ( 2468 × 2484) / 4
LCM(2468,2484) = 6130512 / 4
LCM(2468,2484) = 1532628

Least Common Multiple (LCM) of 2468 and 2484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2468 and 2484. First we will calculate the prime factors of 2468 and 2484.

Prime Factorization of 2468

Prime factors of 2468 are 2, 617. Prime factorization of 2468 in exponential form is:

2468 = 22 × 6171

Prime Factorization of 2484

Prime factors of 2484 are 2, 3, 23. Prime factorization of 2484 in exponential form is:

2484 = 22 × 33 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 2468 and 2484.

LCM(2468,2484) = 22 × 6171 × 33 × 231
LCM(2468,2484) = 1532628