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What is the Least Common Multiple of 56201 and 56215?

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 56201 and 56215 is 3159339215.

LCM(56201,56215) = 3159339215

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Least Common Multiple of 56201 and 56215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56201 and 56215, than apply into the LCM equation.

GCF(56201,56215) = 1
LCM(56201,56215) = ( 56201 × 56215) / 1
LCM(56201,56215) = 3159339215 / 1
LCM(56201,56215) = 3159339215

Least Common Multiple (LCM) of 56201 and 56215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56201 and 56215. First we will calculate the prime factors of 56201 and 56215.

Prime Factorization of 56201

Prime factors of 56201 are 43, 1307. Prime factorization of 56201 in exponential form is:

56201 = 431 × 13071

Prime Factorization of 56215

Prime factors of 56215 are 5, 11243. Prime factorization of 56215 in exponential form is:

56215 = 51 × 112431

Now multiplying the highest exponent prime factors to calculate the LCM of 56201 and 56215.

LCM(56201,56215) = 431 × 13071 × 51 × 112431
LCM(56201,56215) = 3159339215