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What is the Least Common Multiple of 65067 and 65085?

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 65067 and 65085 is 1411628565.

LCM(65067,65085) = 1411628565

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Least Common Multiple of 65067 and 65085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65067 and 65085, than apply into the LCM equation.

GCF(65067,65085) = 3
LCM(65067,65085) = ( 65067 × 65085) / 3
LCM(65067,65085) = 4234885695 / 3
LCM(65067,65085) = 1411628565

Least Common Multiple (LCM) of 65067 and 65085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65067 and 65085. First we will calculate the prime factors of 65067 and 65085.

Prime Factorization of 65067

Prime factors of 65067 are 3, 23, 41. Prime factorization of 65067 in exponential form is:

65067 = 31 × 232 × 411

Prime Factorization of 65085

Prime factors of 65085 are 3, 5, 4339. Prime factorization of 65085 in exponential form is:

65085 = 31 × 51 × 43391

Now multiplying the highest exponent prime factors to calculate the LCM of 65067 and 65085.

LCM(65067,65085) = 31 × 232 × 411 × 51 × 43391
LCM(65067,65085) = 1411628565