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What is the Least Common Multiple of 65358 and 65365?

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 65358 and 65365 is 4272125670.

LCM(65358,65365) = 4272125670

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Least Common Multiple of 65358 and 65365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65358 and 65365, than apply into the LCM equation.

GCF(65358,65365) = 1
LCM(65358,65365) = ( 65358 × 65365) / 1
LCM(65358,65365) = 4272125670 / 1
LCM(65358,65365) = 4272125670

Least Common Multiple (LCM) of 65358 and 65365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65358 and 65365. First we will calculate the prime factors of 65358 and 65365.

Prime Factorization of 65358

Prime factors of 65358 are 2, 3, 3631. Prime factorization of 65358 in exponential form is:

65358 = 21 × 32 × 36311

Prime Factorization of 65365

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

65365 = 51 × 171 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 65358 and 65365.

LCM(65358,65365) = 21 × 32 × 36311 × 51 × 171 × 7691
LCM(65358,65365) = 4272125670