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What is the Least Common Multiple of 54268 and 54285?

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 54268 and 54285 is 2945938380.

LCM(54268,54285) = 2945938380

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Least Common Multiple of 54268 and 54285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54268 and 54285, than apply into the LCM equation.

GCF(54268,54285) = 1
LCM(54268,54285) = ( 54268 × 54285) / 1
LCM(54268,54285) = 2945938380 / 1
LCM(54268,54285) = 2945938380

Least Common Multiple (LCM) of 54268 and 54285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54268 and 54285. First we will calculate the prime factors of 54268 and 54285.

Prime Factorization of 54268

Prime factors of 54268 are 2, 13567. Prime factorization of 54268 in exponential form is:

54268 = 22 × 135671

Prime Factorization of 54285

Prime factors of 54285 are 3, 5, 7, 11, 47. Prime factorization of 54285 in exponential form is:

54285 = 31 × 51 × 71 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 54268 and 54285.

LCM(54268,54285) = 22 × 135671 × 31 × 51 × 71 × 111 × 471
LCM(54268,54285) = 2945938380