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What is the Least Common Multiple of 65741 and 65746?

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 65741 and 65746 is 4322207786.

LCM(65741,65746) = 4322207786

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Least Common Multiple of 65741 and 65746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65741 and 65746, than apply into the LCM equation.

GCF(65741,65746) = 1
LCM(65741,65746) = ( 65741 × 65746) / 1
LCM(65741,65746) = 4322207786 / 1
LCM(65741,65746) = 4322207786

Least Common Multiple (LCM) of 65741 and 65746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65741 and 65746. First we will calculate the prime factors of 65741 and 65746.

Prime Factorization of 65741

Prime factors of 65741 are 13, 389. Prime factorization of 65741 in exponential form is:

65741 = 132 × 3891

Prime Factorization of 65746

Prime factors of 65746 are 2, 71, 463. Prime factorization of 65746 in exponential form is:

65746 = 21 × 711 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 65741 and 65746.

LCM(65741,65746) = 132 × 3891 × 21 × 711 × 4631
LCM(65741,65746) = 4322207786