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What is the Least Common Multiple of 66530 and 66544?

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 66530 and 66544 is 2213586160.

LCM(66530,66544) = 2213586160

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Least Common Multiple of 66530 and 66544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66530 and 66544, than apply into the LCM equation.

GCF(66530,66544) = 2
LCM(66530,66544) = ( 66530 × 66544) / 2
LCM(66530,66544) = 4427172320 / 2
LCM(66530,66544) = 2213586160

Least Common Multiple (LCM) of 66530 and 66544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66530 and 66544. First we will calculate the prime factors of 66530 and 66544.

Prime Factorization of 66530

Prime factors of 66530 are 2, 5, 6653. Prime factorization of 66530 in exponential form is:

66530 = 21 × 51 × 66531

Prime Factorization of 66544

Prime factors of 66544 are 2, 4159. Prime factorization of 66544 in exponential form is:

66544 = 24 × 41591

Now multiplying the highest exponent prime factors to calculate the LCM of 66530 and 66544.

LCM(66530,66544) = 24 × 51 × 66531 × 41591
LCM(66530,66544) = 2213586160