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What is the Least Common Multiple of 54457 and 54462?

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 54457 and 54462 is 2965837134.

LCM(54457,54462) = 2965837134

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Least Common Multiple of 54457 and 54462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54457 and 54462, than apply into the LCM equation.

GCF(54457,54462) = 1
LCM(54457,54462) = ( 54457 × 54462) / 1
LCM(54457,54462) = 2965837134 / 1
LCM(54457,54462) = 2965837134

Least Common Multiple (LCM) of 54457 and 54462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54457 and 54462. First we will calculate the prime factors of 54457 and 54462.

Prime Factorization of 54457

Prime factors of 54457 are 13, 59, 71. Prime factorization of 54457 in exponential form is:

54457 = 131 × 591 × 711

Prime Factorization of 54462

Prime factors of 54462 are 2, 3, 29, 313. Prime factorization of 54462 in exponential form is:

54462 = 21 × 31 × 291 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 54457 and 54462.

LCM(54457,54462) = 131 × 591 × 711 × 21 × 31 × 291 × 3131
LCM(54457,54462) = 2965837134