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What is the Least Common Multiple of 56530 and 56544?

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 56530 and 56544 is 1598216160.

LCM(56530,56544) = 1598216160

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Least Common Multiple of 56530 and 56544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56530 and 56544, than apply into the LCM equation.

GCF(56530,56544) = 2
LCM(56530,56544) = ( 56530 × 56544) / 2
LCM(56530,56544) = 3196432320 / 2
LCM(56530,56544) = 1598216160

Least Common Multiple (LCM) of 56530 and 56544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56530 and 56544. First we will calculate the prime factors of 56530 and 56544.

Prime Factorization of 56530

Prime factors of 56530 are 2, 5, 5653. Prime factorization of 56530 in exponential form is:

56530 = 21 × 51 × 56531

Prime Factorization of 56544

Prime factors of 56544 are 2, 3, 19, 31. Prime factorization of 56544 in exponential form is:

56544 = 25 × 31 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 56530 and 56544.

LCM(56530,56544) = 25 × 51 × 56531 × 31 × 191 × 311
LCM(56530,56544) = 1598216160