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What is the Least Common Multiple of 28151 and 28156?

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 28151 and 28156 is 792619556.

LCM(28151,28156) = 792619556

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Least Common Multiple of 28151 and 28156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28151 and 28156, than apply into the LCM equation.

GCF(28151,28156) = 1
LCM(28151,28156) = ( 28151 × 28156) / 1
LCM(28151,28156) = 792619556 / 1
LCM(28151,28156) = 792619556

Least Common Multiple (LCM) of 28151 and 28156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28151 and 28156. First we will calculate the prime factors of 28151 and 28156.

Prime Factorization of 28151

Prime factors of 28151 are 28151. Prime factorization of 28151 in exponential form is:

28151 = 281511

Prime Factorization of 28156

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

28156 = 22 × 70391

Now multiplying the highest exponent prime factors to calculate the LCM of 28151 and 28156.

LCM(28151,28156) = 281511 × 22 × 70391
LCM(28151,28156) = 792619556