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What is the Least Common Multiple of 97849 and 97860?

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 97849 and 97860 is 9575503140.

LCM(97849,97860) = 9575503140

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Least Common Multiple of 97849 and 97860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97849 and 97860, than apply into the LCM equation.

GCF(97849,97860) = 1
LCM(97849,97860) = ( 97849 × 97860) / 1
LCM(97849,97860) = 9575503140 / 1
LCM(97849,97860) = 9575503140

Least Common Multiple (LCM) of 97849 and 97860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97849 and 97860. First we will calculate the prime factors of 97849 and 97860.

Prime Factorization of 97849

Prime factors of 97849 are 97849. Prime factorization of 97849 in exponential form is:

97849 = 978491

Prime Factorization of 97860

Prime factors of 97860 are 2, 3, 5, 7, 233. Prime factorization of 97860 in exponential form is:

97860 = 22 × 31 × 51 × 71 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 97849 and 97860.

LCM(97849,97860) = 978491 × 22 × 31 × 51 × 71 × 2331
LCM(97849,97860) = 9575503140