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What is the Least Common Multiple of 65260 and 65270?

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 65260 and 65270 is 425952020.

LCM(65260,65270) = 425952020

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Least Common Multiple of 65260 and 65270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65260 and 65270, than apply into the LCM equation.

GCF(65260,65270) = 10
LCM(65260,65270) = ( 65260 × 65270) / 10
LCM(65260,65270) = 4259520200 / 10
LCM(65260,65270) = 425952020

Least Common Multiple (LCM) of 65260 and 65270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65260 and 65270. First we will calculate the prime factors of 65260 and 65270.

Prime Factorization of 65260

Prime factors of 65260 are 2, 5, 13, 251. Prime factorization of 65260 in exponential form is:

65260 = 22 × 51 × 131 × 2511

Prime Factorization of 65270

Prime factors of 65270 are 2, 5, 61, 107. Prime factorization of 65270 in exponential form is:

65270 = 21 × 51 × 611 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 65260 and 65270.

LCM(65260,65270) = 22 × 51 × 131 × 2511 × 611 × 1071
LCM(65260,65270) = 425952020