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What is the Least Common Multiple of 56302 and 56315?

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 56302 and 56315 is 3170647130.

LCM(56302,56315) = 3170647130

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Least Common Multiple of 56302 and 56315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56302 and 56315, than apply into the LCM equation.

GCF(56302,56315) = 1
LCM(56302,56315) = ( 56302 × 56315) / 1
LCM(56302,56315) = 3170647130 / 1
LCM(56302,56315) = 3170647130

Least Common Multiple (LCM) of 56302 and 56315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56302 and 56315. First we will calculate the prime factors of 56302 and 56315.

Prime Factorization of 56302

Prime factors of 56302 are 2, 28151. Prime factorization of 56302 in exponential form is:

56302 = 21 × 281511

Prime Factorization of 56315

Prime factors of 56315 are 5, 7, 1609. Prime factorization of 56315 in exponential form is:

56315 = 51 × 71 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 56302 and 56315.

LCM(56302,56315) = 21 × 281511 × 51 × 71 × 16091
LCM(56302,56315) = 3170647130