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What is the Least Common Multiple of 28182 and 28189?

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 28182 and 28189 is 113488914.

LCM(28182,28189) = 113488914

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Least Common Multiple of 28182 and 28189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28182 and 28189, than apply into the LCM equation.

GCF(28182,28189) = 7
LCM(28182,28189) = ( 28182 × 28189) / 7
LCM(28182,28189) = 794422398 / 7
LCM(28182,28189) = 113488914

Least Common Multiple (LCM) of 28182 and 28189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28182 and 28189. First we will calculate the prime factors of 28182 and 28189.

Prime Factorization of 28182

Prime factors of 28182 are 2, 3, 7, 11, 61. Prime factorization of 28182 in exponential form is:

28182 = 21 × 31 × 71 × 111 × 611

Prime Factorization of 28189

Prime factors of 28189 are 7, 4027. Prime factorization of 28189 in exponential form is:

28189 = 71 × 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 28182 and 28189.

LCM(28182,28189) = 21 × 31 × 71 × 111 × 611 × 40271
LCM(28182,28189) = 113488914