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What is the Least Common Multiple of 54351 and 54362?

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 54351 and 54362 is 268602642.

LCM(54351,54362) = 268602642

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Least Common Multiple of 54351 and 54362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54351 and 54362, than apply into the LCM equation.

GCF(54351,54362) = 11
LCM(54351,54362) = ( 54351 × 54362) / 11
LCM(54351,54362) = 2954629062 / 11
LCM(54351,54362) = 268602642

Least Common Multiple (LCM) of 54351 and 54362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54351 and 54362. First we will calculate the prime factors of 54351 and 54362.

Prime Factorization of 54351

Prime factors of 54351 are 3, 11, 61. Prime factorization of 54351 in exponential form is:

54351 = 34 × 111 × 611

Prime Factorization of 54362

Prime factors of 54362 are 2, 7, 11, 353. Prime factorization of 54362 in exponential form is:

54362 = 21 × 71 × 111 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 54351 and 54362.

LCM(54351,54362) = 34 × 111 × 611 × 21 × 71 × 3531
LCM(54351,54362) = 268602642