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What is the Least Common Multiple of 65121 and 65127?

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 65127 is 1413711789.

LCM(65121,65127) = 1413711789

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Least Common Multiple of 65121 and 65127 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 65127, than apply into the LCM equation.

GCF(65121,65127) = 3
LCM(65121,65127) = ( 65121 × 65127) / 3
LCM(65121,65127) = 4241135367 / 3
LCM(65121,65127) = 1413711789

Least Common Multiple (LCM) of 65121 and 65127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65121 and 65127. First we will calculate the prime factors of 65121 and 65127.

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 65127

Prime factors of 65127 are 3, 17, 1277. Prime factorization of 65127 in exponential form is:

65127 = 31 × 171 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 65121 and 65127.

LCM(65121,65127) = 31 × 72 × 4431 × 171 × 12771
LCM(65121,65127) = 1413711789