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What is the Least Common Multiple of 66057 and 66077?

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 66057 and 66077 is 4364848389.

LCM(66057,66077) = 4364848389

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Least Common Multiple of 66057 and 66077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66057 and 66077, than apply into the LCM equation.

GCF(66057,66077) = 1
LCM(66057,66077) = ( 66057 × 66077) / 1
LCM(66057,66077) = 4364848389 / 1
LCM(66057,66077) = 4364848389

Least Common Multiple (LCM) of 66057 and 66077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66057 and 66077. First we will calculate the prime factors of 66057 and 66077.

Prime Factorization of 66057

Prime factors of 66057 are 3, 97, 227. Prime factorization of 66057 in exponential form is:

66057 = 31 × 971 × 2271

Prime Factorization of 66077

Prime factors of 66077 are 11, 6007. Prime factorization of 66077 in exponential form is:

66077 = 111 × 60071

Now multiplying the highest exponent prime factors to calculate the LCM of 66057 and 66077.

LCM(66057,66077) = 31 × 971 × 2271 × 111 × 60071
LCM(66057,66077) = 4364848389