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What is the Least Common Multiple of 28156 and 28171?

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 28156 and 28171 is 793182676.

LCM(28156,28171) = 793182676

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Least Common Multiple of 28156 and 28171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28156 and 28171, than apply into the LCM equation.

GCF(28156,28171) = 1
LCM(28156,28171) = ( 28156 × 28171) / 1
LCM(28156,28171) = 793182676 / 1
LCM(28156,28171) = 793182676

Least Common Multiple (LCM) of 28156 and 28171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28156 and 28171. First we will calculate the prime factors of 28156 and 28171.

Prime Factorization of 28156

Prime factors of 28156 are 2, 7039. Prime factorization of 28156 in exponential form is:

28156 = 22 × 70391

Prime Factorization of 28171

Prime factors of 28171 are 11, 13, 197. Prime factorization of 28171 in exponential form is:

28171 = 111 × 131 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 28156 and 28171.

LCM(28156,28171) = 22 × 70391 × 111 × 131 × 1971
LCM(28156,28171) = 793182676