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What is the Least Common Multiple of 65397 and 65404?

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 65397 and 65404 is 4277225388.

LCM(65397,65404) = 4277225388

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Least Common Multiple of 65397 and 65404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65397 and 65404, than apply into the LCM equation.

GCF(65397,65404) = 1
LCM(65397,65404) = ( 65397 × 65404) / 1
LCM(65397,65404) = 4277225388 / 1
LCM(65397,65404) = 4277225388

Least Common Multiple (LCM) of 65397 and 65404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65397 and 65404. First we will calculate the prime factors of 65397 and 65404.

Prime Factorization of 65397

Prime factors of 65397 are 3, 21799. Prime factorization of 65397 in exponential form is:

65397 = 31 × 217991

Prime Factorization of 65404

Prime factors of 65404 are 2, 83, 197. Prime factorization of 65404 in exponential form is:

65404 = 22 × 831 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 65397 and 65404.

LCM(65397,65404) = 31 × 217991 × 22 × 831 × 1971
LCM(65397,65404) = 4277225388