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What is the Least Common Multiple of 54905 and 54922?

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 54905 and 54922 is 3015492410.

LCM(54905,54922) = 3015492410

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Least Common Multiple of 54905 and 54922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54905 and 54922, than apply into the LCM equation.

GCF(54905,54922) = 1
LCM(54905,54922) = ( 54905 × 54922) / 1
LCM(54905,54922) = 3015492410 / 1
LCM(54905,54922) = 3015492410

Least Common Multiple (LCM) of 54905 and 54922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54905 and 54922. First we will calculate the prime factors of 54905 and 54922.

Prime Factorization of 54905

Prime factors of 54905 are 5, 79, 139. Prime factorization of 54905 in exponential form is:

54905 = 51 × 791 × 1391

Prime Factorization of 54922

Prime factors of 54922 are 2, 7, 3923. Prime factorization of 54922 in exponential form is:

54922 = 21 × 71 × 39231

Now multiplying the highest exponent prime factors to calculate the LCM of 54905 and 54922.

LCM(54905,54922) = 51 × 791 × 1391 × 21 × 71 × 39231
LCM(54905,54922) = 3015492410