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What is the Least Common Multiple of 28120 and 28136?

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 28120 and 28136 is 98898040.

LCM(28120,28136) = 98898040

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Least Common Multiple of 28120 and 28136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28120 and 28136, than apply into the LCM equation.

GCF(28120,28136) = 8
LCM(28120,28136) = ( 28120 × 28136) / 8
LCM(28120,28136) = 791184320 / 8
LCM(28120,28136) = 98898040

Least Common Multiple (LCM) of 28120 and 28136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28120 and 28136. First we will calculate the prime factors of 28120 and 28136.

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

Prime Factorization of 28136

Prime factors of 28136 are 2, 3517. Prime factorization of 28136 in exponential form is:

28136 = 23 × 35171

Now multiplying the highest exponent prime factors to calculate the LCM of 28120 and 28136.

LCM(28120,28136) = 23 × 51 × 191 × 371 × 35171
LCM(28120,28136) = 98898040