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What is the Least Common Multiple of 66544 and 66561?

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 66544 and 66561 is 4429235184.

LCM(66544,66561) = 4429235184

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Least Common Multiple of 66544 and 66561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66544 and 66561, than apply into the LCM equation.

GCF(66544,66561) = 1
LCM(66544,66561) = ( 66544 × 66561) / 1
LCM(66544,66561) = 4429235184 / 1
LCM(66544,66561) = 4429235184

Least Common Multiple (LCM) of 66544 and 66561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66544 and 66561. First we will calculate the prime factors of 66544 and 66561.

Prime Factorization of 66544

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

66544 = 24 × 41591

Prime Factorization of 66561

Prime factors of 66561 are 3, 11, 2017. Prime factorization of 66561 in exponential form is:

66561 = 31 × 111 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 66544 and 66561.

LCM(66544,66561) = 24 × 41591 × 31 × 111 × 20171
LCM(66544,66561) = 4429235184