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What is the Least Common Multiple of 4478 and 4488?

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 4478 and 4488 is 10048632.

LCM(4478,4488) = 10048632

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Least Common Multiple of 4478 and 4488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4478 and 4488, than apply into the LCM equation.

GCF(4478,4488) = 2
LCM(4478,4488) = ( 4478 × 4488) / 2
LCM(4478,4488) = 20097264 / 2
LCM(4478,4488) = 10048632

Least Common Multiple (LCM) of 4478 and 4488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4478 and 4488. First we will calculate the prime factors of 4478 and 4488.

Prime Factorization of 4478

Prime factors of 4478 are 2, 2239. Prime factorization of 4478 in exponential form is:

4478 = 21 × 22391

Prime Factorization of 4488

Prime factors of 4488 are 2, 3, 11, 17. Prime factorization of 4488 in exponential form is:

4488 = 23 × 31 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 4478 and 4488.

LCM(4478,4488) = 23 × 22391 × 31 × 111 × 171
LCM(4478,4488) = 10048632