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What is the Least Common Multiple of 65630 and 65634?

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 65630 and 65634 is 2153779710.

LCM(65630,65634) = 2153779710

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Least Common Multiple of 65630 and 65634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65630 and 65634, than apply into the LCM equation.

GCF(65630,65634) = 2
LCM(65630,65634) = ( 65630 × 65634) / 2
LCM(65630,65634) = 4307559420 / 2
LCM(65630,65634) = 2153779710

Least Common Multiple (LCM) of 65630 and 65634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65630 and 65634. First we will calculate the prime factors of 65630 and 65634.

Prime Factorization of 65630

Prime factors of 65630 are 2, 5, 6563. Prime factorization of 65630 in exponential form is:

65630 = 21 × 51 × 65631

Prime Factorization of 65634

Prime factors of 65634 are 2, 3, 10939. Prime factorization of 65634 in exponential form is:

65634 = 21 × 31 × 109391

Now multiplying the highest exponent prime factors to calculate the LCM of 65630 and 65634.

LCM(65630,65634) = 21 × 51 × 65631 × 31 × 109391
LCM(65630,65634) = 2153779710