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What is the Least Common Multiple of 65725 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 65725 and 65740 is 864152300.

LCM(65725,65740) = 864152300

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Least Common Multiple of 65725 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 65725 and 65740, than apply into the LCM equation.

GCF(65725,65740) = 5
LCM(65725,65740) = ( 65725 × 65740) / 5
LCM(65725,65740) = 4320761500 / 5
LCM(65725,65740) = 864152300

Least Common Multiple (LCM) of 65725 and 65740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65725 and 65740. First we will calculate the prime factors of 65725 and 65740.

Prime Factorization of 65725

Prime factors of 65725 are 5, 11, 239. Prime factorization of 65725 in exponential form is:

65725 = 52 × 111 × 2391

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 65725 and 65740.

LCM(65725,65740) = 52 × 111 × 2391 × 22 × 191 × 1731
LCM(65725,65740) = 864152300