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What is the Least Common Multiple of 54253 and 54272?

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 54253 and 54272 is 2944418816.

LCM(54253,54272) = 2944418816

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Least Common Multiple of 54253 and 54272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54253 and 54272, than apply into the LCM equation.

GCF(54253,54272) = 1
LCM(54253,54272) = ( 54253 × 54272) / 1
LCM(54253,54272) = 2944418816 / 1
LCM(54253,54272) = 2944418816

Least Common Multiple (LCM) of 54253 and 54272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54253 and 54272. First we will calculate the prime factors of 54253 and 54272.

Prime Factorization of 54253

Prime factors of 54253 are 227, 239. Prime factorization of 54253 in exponential form is:

54253 = 2271 × 2391

Prime Factorization of 54272

Prime factors of 54272 are 2, 53. Prime factorization of 54272 in exponential form is:

54272 = 210 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 54253 and 54272.

LCM(54253,54272) = 2271 × 2391 × 210 × 531
LCM(54253,54272) = 2944418816