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What is the Least Common Multiple of 54398 and 54405?

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 54398 and 54405 is 2959523190.

LCM(54398,54405) = 2959523190

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Least Common Multiple of 54398 and 54405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54398 and 54405, than apply into the LCM equation.

GCF(54398,54405) = 1
LCM(54398,54405) = ( 54398 × 54405) / 1
LCM(54398,54405) = 2959523190 / 1
LCM(54398,54405) = 2959523190

Least Common Multiple (LCM) of 54398 and 54405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54398 and 54405. First we will calculate the prime factors of 54398 and 54405.

Prime Factorization of 54398

Prime factors of 54398 are 2, 59, 461. Prime factorization of 54398 in exponential form is:

54398 = 21 × 591 × 4611

Prime Factorization of 54405

Prime factors of 54405 are 3, 5, 13, 31. Prime factorization of 54405 in exponential form is:

54405 = 33 × 51 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 54398 and 54405.

LCM(54398,54405) = 21 × 591 × 4611 × 33 × 51 × 131 × 311
LCM(54398,54405) = 2959523190