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What is the Least Common Multiple of 82155 and 82172?

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 82155 and 82172 is 6750840660.

LCM(82155,82172) = 6750840660

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Least Common Multiple of 82155 and 82172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82155 and 82172, than apply into the LCM equation.

GCF(82155,82172) = 1
LCM(82155,82172) = ( 82155 × 82172) / 1
LCM(82155,82172) = 6750840660 / 1
LCM(82155,82172) = 6750840660

Least Common Multiple (LCM) of 82155 and 82172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82155 and 82172. First we will calculate the prime factors of 82155 and 82172.

Prime Factorization of 82155

Prime factors of 82155 are 3, 5, 5477. Prime factorization of 82155 in exponential form is:

82155 = 31 × 51 × 54771

Prime Factorization of 82172

Prime factors of 82172 are 2, 20543. Prime factorization of 82172 in exponential form is:

82172 = 22 × 205431

Now multiplying the highest exponent prime factors to calculate the LCM of 82155 and 82172.

LCM(82155,82172) = 31 × 51 × 54771 × 22 × 205431
LCM(82155,82172) = 6750840660