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What is the Least Common Multiple of 52427 and 52447?

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 52427 and 52447 is 2749638869.

LCM(52427,52447) = 2749638869

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Least Common Multiple of 52427 and 52447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52427 and 52447, than apply into the LCM equation.

GCF(52427,52447) = 1
LCM(52427,52447) = ( 52427 × 52447) / 1
LCM(52427,52447) = 2749638869 / 1
LCM(52427,52447) = 2749638869

Least Common Multiple (LCM) of 52427 and 52447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52427 and 52447. First we will calculate the prime factors of 52427 and 52447.

Prime Factorization of 52427

Prime factors of 52427 are 103, 509. Prime factorization of 52427 in exponential form is:

52427 = 1031 × 5091

Prime Factorization of 52447

Prime factors of 52447 are 179, 293. Prime factorization of 52447 in exponential form is:

52447 = 1791 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 52427 and 52447.

LCM(52427,52447) = 1031 × 5091 × 1791 × 2931
LCM(52427,52447) = 2749638869