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What is the Least Common Multiple of 56277 and 56295?

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 56277 and 56295 is 352012635.

LCM(56277,56295) = 352012635

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Least Common Multiple of 56277 and 56295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56277 and 56295, than apply into the LCM equation.

GCF(56277,56295) = 9
LCM(56277,56295) = ( 56277 × 56295) / 9
LCM(56277,56295) = 3168113715 / 9
LCM(56277,56295) = 352012635

Least Common Multiple (LCM) of 56277 and 56295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56277 and 56295. First we will calculate the prime factors of 56277 and 56295.

Prime Factorization of 56277

Prime factors of 56277 are 3, 13, 37. Prime factorization of 56277 in exponential form is:

56277 = 32 × 132 × 371

Prime Factorization of 56295

Prime factors of 56295 are 3, 5, 139. Prime factorization of 56295 in exponential form is:

56295 = 34 × 51 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 56277 and 56295.

LCM(56277,56295) = 34 × 132 × 371 × 51 × 1391
LCM(56277,56295) = 352012635