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What is the Least Common Multiple of 2453 and 2466?

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 2453 and 2466 is 6049098.

LCM(2453,2466) = 6049098

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Least Common Multiple of 2453 and 2466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2453 and 2466, than apply into the LCM equation.

GCF(2453,2466) = 1
LCM(2453,2466) = ( 2453 × 2466) / 1
LCM(2453,2466) = 6049098 / 1
LCM(2453,2466) = 6049098

Least Common Multiple (LCM) of 2453 and 2466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2453 and 2466. First we will calculate the prime factors of 2453 and 2466.

Prime Factorization of 2453

Prime factors of 2453 are 11, 223. Prime factorization of 2453 in exponential form is:

2453 = 111 × 2231

Prime Factorization of 2466

Prime factors of 2466 are 2, 3, 137. Prime factorization of 2466 in exponential form is:

2466 = 21 × 32 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2453 and 2466.

LCM(2453,2466) = 111 × 2231 × 21 × 32 × 1371
LCM(2453,2466) = 6049098