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What is the Least Common Multiple of 28110 and 28124?

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 28110 and 28124 is 395282820.

LCM(28110,28124) = 395282820

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Least Common Multiple of 28110 and 28124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28110 and 28124, than apply into the LCM equation.

GCF(28110,28124) = 2
LCM(28110,28124) = ( 28110 × 28124) / 2
LCM(28110,28124) = 790565640 / 2
LCM(28110,28124) = 395282820

Least Common Multiple (LCM) of 28110 and 28124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28110 and 28124. First we will calculate the prime factors of 28110 and 28124.

Prime Factorization of 28110

Prime factors of 28110 are 2, 3, 5, 937. Prime factorization of 28110 in exponential form is:

28110 = 21 × 31 × 51 × 9371

Prime Factorization of 28124

Prime factors of 28124 are 2, 79, 89. Prime factorization of 28124 in exponential form is:

28124 = 22 × 791 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 28110 and 28124.

LCM(28110,28124) = 22 × 31 × 51 × 9371 × 791 × 891
LCM(28110,28124) = 395282820