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What is the Least Common Multiple of 66821 and 66827?

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 66821 and 66827 is 4465446967.

LCM(66821,66827) = 4465446967

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Least Common Multiple of 66821 and 66827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66821 and 66827, than apply into the LCM equation.

GCF(66821,66827) = 1
LCM(66821,66827) = ( 66821 × 66827) / 1
LCM(66821,66827) = 4465446967 / 1
LCM(66821,66827) = 4465446967

Least Common Multiple (LCM) of 66821 and 66827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66821 and 66827. First we will calculate the prime factors of 66821 and 66827.

Prime Factorization of 66821

Prime factors of 66821 are 66821. Prime factorization of 66821 in exponential form is:

66821 = 668211

Prime Factorization of 66827

Prime factors of 66827 are 17, 3931. Prime factorization of 66827 in exponential form is:

66827 = 171 × 39311

Now multiplying the highest exponent prime factors to calculate the LCM of 66821 and 66827.

LCM(66821,66827) = 668211 × 171 × 39311
LCM(66821,66827) = 4465446967