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What is the Least Common Multiple of 28095 and 28114?

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 28095 and 28114 is 789862830.

LCM(28095,28114) = 789862830

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Least Common Multiple of 28095 and 28114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28095 and 28114, than apply into the LCM equation.

GCF(28095,28114) = 1
LCM(28095,28114) = ( 28095 × 28114) / 1
LCM(28095,28114) = 789862830 / 1
LCM(28095,28114) = 789862830

Least Common Multiple (LCM) of 28095 and 28114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28095 and 28114. First we will calculate the prime factors of 28095 and 28114.

Prime Factorization of 28095

Prime factors of 28095 are 3, 5, 1873. Prime factorization of 28095 in exponential form is:

28095 = 31 × 51 × 18731

Prime Factorization of 28114

Prime factors of 28114 are 2, 14057. Prime factorization of 28114 in exponential form is:

28114 = 21 × 140571

Now multiplying the highest exponent prime factors to calculate the LCM of 28095 and 28114.

LCM(28095,28114) = 31 × 51 × 18731 × 21 × 140571
LCM(28095,28114) = 789862830