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What is the Least Common Multiple of 66546 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 66546 and 66561 is 1476456102.

LCM(66546,66561) = 1476456102

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Least Common Multiple of 66546 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 66546 and 66561, than apply into the LCM equation.

GCF(66546,66561) = 3
LCM(66546,66561) = ( 66546 × 66561) / 3
LCM(66546,66561) = 4429368306 / 3
LCM(66546,66561) = 1476456102

Least Common Multiple (LCM) of 66546 and 66561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66546 and 66561. First we will calculate the prime factors of 66546 and 66561.

Prime Factorization of 66546

Prime factors of 66546 are 2, 3, 3697. Prime factorization of 66546 in exponential form is:

66546 = 21 × 32 × 36971

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 66546 and 66561.

LCM(66546,66561) = 21 × 32 × 36971 × 111 × 20171
LCM(66546,66561) = 1476456102