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What is the Least Common Multiple of 448 and 455?

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 448 and 455 is 29120.

LCM(448,455) = 29120

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Least Common Multiple of 448 and 455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 448 and 455, than apply into the LCM equation.

GCF(448,455) = 7
LCM(448,455) = ( 448 × 455) / 7
LCM(448,455) = 203840 / 7
LCM(448,455) = 29120

Least Common Multiple (LCM) of 448 and 455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 448 and 455. First we will calculate the prime factors of 448 and 455.

Prime Factorization of 448

Prime factors of 448 are 2, 7. Prime factorization of 448 in exponential form is:

448 = 26 × 71

Prime Factorization of 455

Prime factors of 455 are 5, 7, 13. Prime factorization of 455 in exponential form is:

455 = 51 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 448 and 455.

LCM(448,455) = 26 × 71 × 51 × 131
LCM(448,455) = 29120