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What is the Least Common Multiple of 54069 and 54077?

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 54069 and 54077 is 2923889313.

LCM(54069,54077) = 2923889313

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Least Common Multiple of 54069 and 54077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54069 and 54077, than apply into the LCM equation.

GCF(54069,54077) = 1
LCM(54069,54077) = ( 54069 × 54077) / 1
LCM(54069,54077) = 2923889313 / 1
LCM(54069,54077) = 2923889313

Least Common Multiple (LCM) of 54069 and 54077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54069 and 54077. First we will calculate the prime factors of 54069 and 54077.

Prime Factorization of 54069

Prime factors of 54069 are 3, 67, 269. Prime factorization of 54069 in exponential form is:

54069 = 31 × 671 × 2691

Prime Factorization of 54077

Prime factors of 54077 are 17, 3181. Prime factorization of 54077 in exponential form is:

54077 = 171 × 31811

Now multiplying the highest exponent prime factors to calculate the LCM of 54069 and 54077.

LCM(54069,54077) = 31 × 671 × 2691 × 171 × 31811
LCM(54069,54077) = 2923889313