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What is the Least Common Multiple of 81197 and 81201?

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 81197 and 81201 is 6593277597.

LCM(81197,81201) = 6593277597

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Least Common Multiple of 81197 and 81201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81197 and 81201, than apply into the LCM equation.

GCF(81197,81201) = 1
LCM(81197,81201) = ( 81197 × 81201) / 1
LCM(81197,81201) = 6593277597 / 1
LCM(81197,81201) = 6593277597

Least Common Multiple (LCM) of 81197 and 81201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81197 and 81201. First we will calculate the prime factors of 81197 and 81201.

Prime Factorization of 81197

Prime factors of 81197 are 81197. Prime factorization of 81197 in exponential form is:

81197 = 811971

Prime Factorization of 81201

Prime factors of 81201 are 3, 27067. Prime factorization of 81201 in exponential form is:

81201 = 31 × 270671

Now multiplying the highest exponent prime factors to calculate the LCM of 81197 and 81201.

LCM(81197,81201) = 811971 × 31 × 270671
LCM(81197,81201) = 6593277597