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What is the Least Common Multiple of 28117 and 28123?

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 28117 and 28123 is 790734391.

LCM(28117,28123) = 790734391

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Least Common Multiple of 28117 and 28123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28117 and 28123, than apply into the LCM equation.

GCF(28117,28123) = 1
LCM(28117,28123) = ( 28117 × 28123) / 1
LCM(28117,28123) = 790734391 / 1
LCM(28117,28123) = 790734391

Least Common Multiple (LCM) of 28117 and 28123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28117 and 28123. First we will calculate the prime factors of 28117 and 28123.

Prime Factorization of 28117

Prime factors of 28117 are 31, 907. Prime factorization of 28117 in exponential form is:

28117 = 311 × 9071

Prime Factorization of 28123

Prime factors of 28123 are 28123. Prime factorization of 28123 in exponential form is:

28123 = 281231

Now multiplying the highest exponent prime factors to calculate the LCM of 28117 and 28123.

LCM(28117,28123) = 311 × 9071 × 281231
LCM(28117,28123) = 790734391