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What is the Least Common Multiple of 66461 and 66473?

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 66461 and 66473 is 4417862053.

LCM(66461,66473) = 4417862053

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Least Common Multiple of 66461 and 66473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66461 and 66473, than apply into the LCM equation.

GCF(66461,66473) = 1
LCM(66461,66473) = ( 66461 × 66473) / 1
LCM(66461,66473) = 4417862053 / 1
LCM(66461,66473) = 4417862053

Least Common Multiple (LCM) of 66461 and 66473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66461 and 66473. First we will calculate the prime factors of 66461 and 66473.

Prime Factorization of 66461

Prime factors of 66461 are 41, 1621. Prime factorization of 66461 in exponential form is:

66461 = 411 × 16211

Prime Factorization of 66473

Prime factors of 66473 are 11, 6043. Prime factorization of 66473 in exponential form is:

66473 = 111 × 60431

Now multiplying the highest exponent prime factors to calculate the LCM of 66461 and 66473.

LCM(66461,66473) = 411 × 16211 × 111 × 60431
LCM(66461,66473) = 4417862053