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What is the Least Common Multiple of 65431 and 65444?

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 65431 and 65444 is 4282066364.

LCM(65431,65444) = 4282066364

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Least Common Multiple of 65431 and 65444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65431 and 65444, than apply into the LCM equation.

GCF(65431,65444) = 1
LCM(65431,65444) = ( 65431 × 65444) / 1
LCM(65431,65444) = 4282066364 / 1
LCM(65431,65444) = 4282066364

Least Common Multiple (LCM) of 65431 and 65444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65431 and 65444. First we will calculate the prime factors of 65431 and 65444.

Prime Factorization of 65431

Prime factors of 65431 are 59, 1109. Prime factorization of 65431 in exponential form is:

65431 = 591 × 11091

Prime Factorization of 65444

Prime factors of 65444 are 2, 16361. Prime factorization of 65444 in exponential form is:

65444 = 22 × 163611

Now multiplying the highest exponent prime factors to calculate the LCM of 65431 and 65444.

LCM(65431,65444) = 591 × 11091 × 22 × 163611
LCM(65431,65444) = 4282066364