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What is the Least Common Multiple of 28069 and 28077?

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 28069 and 28077 is 788093313.

LCM(28069,28077) = 788093313

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Least Common Multiple of 28069 and 28077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28069 and 28077, than apply into the LCM equation.

GCF(28069,28077) = 1
LCM(28069,28077) = ( 28069 × 28077) / 1
LCM(28069,28077) = 788093313 / 1
LCM(28069,28077) = 788093313

Least Common Multiple (LCM) of 28069 and 28077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28069 and 28077. First we will calculate the prime factors of 28069 and 28077.

Prime Factorization of 28069

Prime factors of 28069 are 28069. Prime factorization of 28069 in exponential form is:

28069 = 280691

Prime Factorization of 28077

Prime factors of 28077 are 3, 7, 191. Prime factorization of 28077 in exponential form is:

28077 = 31 × 72 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 28069 and 28077.

LCM(28069,28077) = 280691 × 31 × 72 × 1911
LCM(28069,28077) = 788093313