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What is the Least Common Multiple of 28157 and 28176?

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 28157 and 28176 is 793351632.

LCM(28157,28176) = 793351632

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Least Common Multiple of 28157 and 28176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28157 and 28176, than apply into the LCM equation.

GCF(28157,28176) = 1
LCM(28157,28176) = ( 28157 × 28176) / 1
LCM(28157,28176) = 793351632 / 1
LCM(28157,28176) = 793351632

Least Common Multiple (LCM) of 28157 and 28176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28157 and 28176. First we will calculate the prime factors of 28157 and 28176.

Prime Factorization of 28157

Prime factors of 28157 are 37, 761. Prime factorization of 28157 in exponential form is:

28157 = 371 × 7611

Prime Factorization of 28176

Prime factors of 28176 are 2, 3, 587. Prime factorization of 28176 in exponential form is:

28176 = 24 × 31 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 28157 and 28176.

LCM(28157,28176) = 371 × 7611 × 24 × 31 × 5871
LCM(28157,28176) = 793351632