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What is the Least Common Multiple of 56265 and 56274?

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 56265 and 56274 is 1055418870.

LCM(56265,56274) = 1055418870

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Least Common Multiple of 56265 and 56274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56265 and 56274, than apply into the LCM equation.

GCF(56265,56274) = 3
LCM(56265,56274) = ( 56265 × 56274) / 3
LCM(56265,56274) = 3166256610 / 3
LCM(56265,56274) = 1055418870

Least Common Multiple (LCM) of 56265 and 56274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56265 and 56274. First we will calculate the prime factors of 56265 and 56274.

Prime Factorization of 56265

Prime factors of 56265 are 3, 5, 11, 31. Prime factorization of 56265 in exponential form is:

56265 = 31 × 51 × 112 × 311

Prime Factorization of 56274

Prime factors of 56274 are 2, 3, 83, 113. Prime factorization of 56274 in exponential form is:

56274 = 21 × 31 × 831 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 56265 and 56274.

LCM(56265,56274) = 31 × 51 × 112 × 311 × 21 × 831 × 1131
LCM(56265,56274) = 1055418870