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What is the Least Common Multiple of 97273 and 97293?

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 97273 and 97293 is 9463981989.

LCM(97273,97293) = 9463981989

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Least Common Multiple of 97273 and 97293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97273 and 97293, than apply into the LCM equation.

GCF(97273,97293) = 1
LCM(97273,97293) = ( 97273 × 97293) / 1
LCM(97273,97293) = 9463981989 / 1
LCM(97273,97293) = 9463981989

Least Common Multiple (LCM) of 97273 and 97293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97273 and 97293. First we will calculate the prime factors of 97273 and 97293.

Prime Factorization of 97273

Prime factors of 97273 are 11, 37, 239. Prime factorization of 97273 in exponential form is:

97273 = 111 × 371 × 2391

Prime Factorization of 97293

Prime factors of 97293 are 3, 7, 41, 113. Prime factorization of 97293 in exponential form is:

97293 = 31 × 71 × 411 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 97273 and 97293.

LCM(97273,97293) = 111 × 371 × 2391 × 31 × 71 × 411 × 1131
LCM(97273,97293) = 9463981989