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What is the Least Common Multiple of 97348 and 97366?

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 97348 and 97366 is 4739192684.

LCM(97348,97366) = 4739192684

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Least Common Multiple of 97348 and 97366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97348 and 97366, than apply into the LCM equation.

GCF(97348,97366) = 2
LCM(97348,97366) = ( 97348 × 97366) / 2
LCM(97348,97366) = 9478385368 / 2
LCM(97348,97366) = 4739192684

Least Common Multiple (LCM) of 97348 and 97366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97348 and 97366. First we will calculate the prime factors of 97348 and 97366.

Prime Factorization of 97348

Prime factors of 97348 are 2, 24337. Prime factorization of 97348 in exponential form is:

97348 = 22 × 243371

Prime Factorization of 97366

Prime factors of 97366 are 2, 89, 547. Prime factorization of 97366 in exponential form is:

97366 = 21 × 891 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 97348 and 97366.

LCM(97348,97366) = 22 × 243371 × 891 × 5471
LCM(97348,97366) = 4739192684