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What is the Least Common Multiple of 65735 and 65740?

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 65735 and 65740 is 864283780.

LCM(65735,65740) = 864283780

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Least Common Multiple of 65735 and 65740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65735 and 65740, than apply into the LCM equation.

GCF(65735,65740) = 5
LCM(65735,65740) = ( 65735 × 65740) / 5
LCM(65735,65740) = 4321418900 / 5
LCM(65735,65740) = 864283780

Least Common Multiple (LCM) of 65735 and 65740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65735 and 65740. First we will calculate the prime factors of 65735 and 65740.

Prime Factorization of 65735

Prime factors of 65735 are 5, 13147. Prime factorization of 65735 in exponential form is:

65735 = 51 × 131471

Prime Factorization of 65740

Prime factors of 65740 are 2, 5, 19, 173. Prime factorization of 65740 in exponential form is:

65740 = 22 × 51 × 191 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 65735 and 65740.

LCM(65735,65740) = 51 × 131471 × 22 × 191 × 1731
LCM(65735,65740) = 864283780