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What is the Least Common Multiple of 4454 and 4460?

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 4454 and 4460 is 9932420.

LCM(4454,4460) = 9932420

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Least Common Multiple of 4454 and 4460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4454 and 4460, than apply into the LCM equation.

GCF(4454,4460) = 2
LCM(4454,4460) = ( 4454 × 4460) / 2
LCM(4454,4460) = 19864840 / 2
LCM(4454,4460) = 9932420

Least Common Multiple (LCM) of 4454 and 4460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4454 and 4460. First we will calculate the prime factors of 4454 and 4460.

Prime Factorization of 4454

Prime factors of 4454 are 2, 17, 131. Prime factorization of 4454 in exponential form is:

4454 = 21 × 171 × 1311

Prime Factorization of 4460

Prime factors of 4460 are 2, 5, 223. Prime factorization of 4460 in exponential form is:

4460 = 22 × 51 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 4454 and 4460.

LCM(4454,4460) = 22 × 171 × 1311 × 51 × 2231
LCM(4454,4460) = 9932420