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What is the Least Common Multiple of 28199 and 28215?

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 28199 and 28215 is 795634785.

LCM(28199,28215) = 795634785

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Least Common Multiple of 28199 and 28215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28199 and 28215, than apply into the LCM equation.

GCF(28199,28215) = 1
LCM(28199,28215) = ( 28199 × 28215) / 1
LCM(28199,28215) = 795634785 / 1
LCM(28199,28215) = 795634785

Least Common Multiple (LCM) of 28199 and 28215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28199 and 28215. First we will calculate the prime factors of 28199 and 28215.

Prime Factorization of 28199

Prime factors of 28199 are 163, 173. Prime factorization of 28199 in exponential form is:

28199 = 1631 × 1731

Prime Factorization of 28215

Prime factors of 28215 are 3, 5, 11, 19. Prime factorization of 28215 in exponential form is:

28215 = 33 × 51 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 28199 and 28215.

LCM(28199,28215) = 1631 × 1731 × 33 × 51 × 111 × 191
LCM(28199,28215) = 795634785