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What is the Least Common Multiple of 2468 and 2486?

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 2486 is 3067724.

LCM(2468,2486) = 3067724

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Least Common Multiple of 2468 and 2486 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 2486, than apply into the LCM equation.

GCF(2468,2486) = 2
LCM(2468,2486) = ( 2468 × 2486) / 2
LCM(2468,2486) = 6135448 / 2
LCM(2468,2486) = 3067724

Least Common Multiple (LCM) of 2468 and 2486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2468 and 2486. First we will calculate the prime factors of 2468 and 2486.

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 2486

Prime factors of 2486 are 2, 11, 113. Prime factorization of 2486 in exponential form is:

2486 = 21 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 2468 and 2486.

LCM(2468,2486) = 22 × 6171 × 111 × 1131
LCM(2468,2486) = 3067724