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What is the Least Common Multiple of 54448 and 54454?

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 54448 and 54454 is 1482455696.

LCM(54448,54454) = 1482455696

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Least Common Multiple of 54448 and 54454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54448 and 54454, than apply into the LCM equation.

GCF(54448,54454) = 2
LCM(54448,54454) = ( 54448 × 54454) / 2
LCM(54448,54454) = 2964911392 / 2
LCM(54448,54454) = 1482455696

Least Common Multiple (LCM) of 54448 and 54454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54448 and 54454. First we will calculate the prime factors of 54448 and 54454.

Prime Factorization of 54448

Prime factors of 54448 are 2, 41, 83. Prime factorization of 54448 in exponential form is:

54448 = 24 × 411 × 831

Prime Factorization of 54454

Prime factors of 54454 are 2, 19, 1433. Prime factorization of 54454 in exponential form is:

54454 = 21 × 191 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 54448 and 54454.

LCM(54448,54454) = 24 × 411 × 831 × 191 × 14331
LCM(54448,54454) = 1482455696