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What is the Least Common Multiple of 2454 and 2458?

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 2454 and 2458 is 3015966.

LCM(2454,2458) = 3015966

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Least Common Multiple of 2454 and 2458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2454 and 2458, than apply into the LCM equation.

GCF(2454,2458) = 2
LCM(2454,2458) = ( 2454 × 2458) / 2
LCM(2454,2458) = 6031932 / 2
LCM(2454,2458) = 3015966

Least Common Multiple (LCM) of 2454 and 2458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2454 and 2458. First we will calculate the prime factors of 2454 and 2458.

Prime Factorization of 2454

Prime factors of 2454 are 2, 3, 409. Prime factorization of 2454 in exponential form is:

2454 = 21 × 31 × 4091

Prime Factorization of 2458

Prime factors of 2458 are 2, 1229. Prime factorization of 2458 in exponential form is:

2458 = 21 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 2454 and 2458.

LCM(2454,2458) = 21 × 31 × 4091 × 12291
LCM(2454,2458) = 3015966