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What is the Least Common Multiple of 54444 and 54457?

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 54444 and 54457 is 228065916.

LCM(54444,54457) = 228065916

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Least Common Multiple of 54444 and 54457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54444 and 54457, than apply into the LCM equation.

GCF(54444,54457) = 13
LCM(54444,54457) = ( 54444 × 54457) / 13
LCM(54444,54457) = 2964856908 / 13
LCM(54444,54457) = 228065916

Least Common Multiple (LCM) of 54444 and 54457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54444 and 54457. First we will calculate the prime factors of 54444 and 54457.

Prime Factorization of 54444

Prime factors of 54444 are 2, 3, 13, 349. Prime factorization of 54444 in exponential form is:

54444 = 22 × 31 × 131 × 3491

Prime Factorization of 54457

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

54457 = 131 × 591 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 54444 and 54457.

LCM(54444,54457) = 22 × 31 × 131 × 3491 × 591 × 711
LCM(54444,54457) = 228065916