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What is the Least Common Multiple of 65121 and 65135?

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 65121 and 65135 is 605950905.

LCM(65121,65135) = 605950905

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Least Common Multiple of 65121 and 65135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65121 and 65135, than apply into the LCM equation.

GCF(65121,65135) = 7
LCM(65121,65135) = ( 65121 × 65135) / 7
LCM(65121,65135) = 4241656335 / 7
LCM(65121,65135) = 605950905

Least Common Multiple (LCM) of 65121 and 65135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65121 and 65135. First we will calculate the prime factors of 65121 and 65135.

Prime Factorization of 65121

Prime factors of 65121 are 3, 7, 443. Prime factorization of 65121 in exponential form is:

65121 = 31 × 72 × 4431

Prime Factorization of 65135

Prime factors of 65135 are 5, 7, 1861. Prime factorization of 65135 in exponential form is:

65135 = 51 × 71 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 65121 and 65135.

LCM(65121,65135) = 31 × 72 × 4431 × 51 × 18611
LCM(65121,65135) = 605950905