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What is the Least Common Multiple of 54445 and 54465?

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 54445 and 54465 is 593069385.

LCM(54445,54465) = 593069385

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Least Common Multiple of 54445 and 54465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54445 and 54465, than apply into the LCM equation.

GCF(54445,54465) = 5
LCM(54445,54465) = ( 54445 × 54465) / 5
LCM(54445,54465) = 2965346925 / 5
LCM(54445,54465) = 593069385

Least Common Multiple (LCM) of 54445 and 54465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54445 and 54465. First we will calculate the prime factors of 54445 and 54465.

Prime Factorization of 54445

Prime factors of 54445 are 5, 10889. Prime factorization of 54445 in exponential form is:

54445 = 51 × 108891

Prime Factorization of 54465

Prime factors of 54465 are 3, 5, 3631. Prime factorization of 54465 in exponential form is:

54465 = 31 × 51 × 36311

Now multiplying the highest exponent prime factors to calculate the LCM of 54445 and 54465.

LCM(54445,54465) = 51 × 108891 × 31 × 36311
LCM(54445,54465) = 593069385