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What is the Least Common Multiple of 97399 and 97413?

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 97399 and 97413 is 9487928787.

LCM(97399,97413) = 9487928787

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Least Common Multiple of 97399 and 97413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97399 and 97413, than apply into the LCM equation.

GCF(97399,97413) = 1
LCM(97399,97413) = ( 97399 × 97413) / 1
LCM(97399,97413) = 9487928787 / 1
LCM(97399,97413) = 9487928787

Least Common Multiple (LCM) of 97399 and 97413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97399 and 97413. First we will calculate the prime factors of 97399 and 97413.

Prime Factorization of 97399

Prime factors of 97399 are 173, 563. Prime factorization of 97399 in exponential form is:

97399 = 1731 × 5631

Prime Factorization of 97413

Prime factors of 97413 are 3, 19, 1709. Prime factorization of 97413 in exponential form is:

97413 = 31 × 191 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 97399 and 97413.

LCM(97399,97413) = 1731 × 5631 × 31 × 191 × 17091
LCM(97399,97413) = 9487928787