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What is the Least Common Multiple of 56272 and 56286?

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 56272 and 56286 is 1583662896.

LCM(56272,56286) = 1583662896

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Least Common Multiple of 56272 and 56286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56272 and 56286, than apply into the LCM equation.

GCF(56272,56286) = 2
LCM(56272,56286) = ( 56272 × 56286) / 2
LCM(56272,56286) = 3167325792 / 2
LCM(56272,56286) = 1583662896

Least Common Multiple (LCM) of 56272 and 56286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56272 and 56286. First we will calculate the prime factors of 56272 and 56286.

Prime Factorization of 56272

Prime factors of 56272 are 2, 3517. Prime factorization of 56272 in exponential form is:

56272 = 24 × 35171

Prime Factorization of 56286

Prime factors of 56286 are 2, 3, 53, 59. Prime factorization of 56286 in exponential form is:

56286 = 21 × 32 × 531 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 56272 and 56286.

LCM(56272,56286) = 24 × 35171 × 32 × 531 × 591
LCM(56272,56286) = 1583662896