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What is the Least Common Multiple of 54896 and 54906?

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 54896 and 54906 is 1507059888.

LCM(54896,54906) = 1507059888

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Least Common Multiple of 54896 and 54906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54896 and 54906, than apply into the LCM equation.

GCF(54896,54906) = 2
LCM(54896,54906) = ( 54896 × 54906) / 2
LCM(54896,54906) = 3014119776 / 2
LCM(54896,54906) = 1507059888

Least Common Multiple (LCM) of 54896 and 54906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54896 and 54906. First we will calculate the prime factors of 54896 and 54906.

Prime Factorization of 54896

Prime factors of 54896 are 2, 47, 73. Prime factorization of 54896 in exponential form is:

54896 = 24 × 471 × 731

Prime Factorization of 54906

Prime factors of 54906 are 2, 3, 9151. Prime factorization of 54906 in exponential form is:

54906 = 21 × 31 × 91511

Now multiplying the highest exponent prime factors to calculate the LCM of 54896 and 54906.

LCM(54896,54906) = 24 × 471 × 731 × 31 × 91511
LCM(54896,54906) = 1507059888