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What is the Least Common Multiple of 28105 and 28120?

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 28105 and 28120 is 158062520.

LCM(28105,28120) = 158062520

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Least Common Multiple of 28105 and 28120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28105 and 28120, than apply into the LCM equation.

GCF(28105,28120) = 5
LCM(28105,28120) = ( 28105 × 28120) / 5
LCM(28105,28120) = 790312600 / 5
LCM(28105,28120) = 158062520

Least Common Multiple (LCM) of 28105 and 28120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28105 and 28120. First we will calculate the prime factors of 28105 and 28120.

Prime Factorization of 28105

Prime factors of 28105 are 5, 7, 11, 73. Prime factorization of 28105 in exponential form is:

28105 = 51 × 71 × 111 × 731

Prime Factorization of 28120

Prime factors of 28120 are 2, 5, 19, 37. Prime factorization of 28120 in exponential form is:

28120 = 23 × 51 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 28105 and 28120.

LCM(28105,28120) = 51 × 71 × 111 × 731 × 23 × 191 × 371
LCM(28105,28120) = 158062520