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What is the Least Common Multiple of 65365 and 65375?

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 65365 and 65375 is 854647375.

LCM(65365,65375) = 854647375

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Least Common Multiple of 65365 and 65375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65365 and 65375, than apply into the LCM equation.

GCF(65365,65375) = 5
LCM(65365,65375) = ( 65365 × 65375) / 5
LCM(65365,65375) = 4273236875 / 5
LCM(65365,65375) = 854647375

Least Common Multiple (LCM) of 65365 and 65375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65365 and 65375. First we will calculate the prime factors of 65365 and 65375.

Prime Factorization of 65365

Prime factors of 65365 are 5, 17, 769. Prime factorization of 65365 in exponential form is:

65365 = 51 × 171 × 7691

Prime Factorization of 65375

Prime factors of 65375 are 5, 523. Prime factorization of 65375 in exponential form is:

65375 = 53 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 65365 and 65375.

LCM(65365,65375) = 53 × 171 × 7691 × 5231
LCM(65365,65375) = 854647375