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What is the Least Common Multiple of 65706 and 65710?

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 65706 and 65710 is 2158770630.

LCM(65706,65710) = 2158770630

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Least Common Multiple of 65706 and 65710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65706 and 65710, than apply into the LCM equation.

GCF(65706,65710) = 2
LCM(65706,65710) = ( 65706 × 65710) / 2
LCM(65706,65710) = 4317541260 / 2
LCM(65706,65710) = 2158770630

Least Common Multiple (LCM) of 65706 and 65710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65706 and 65710. First we will calculate the prime factors of 65706 and 65710.

Prime Factorization of 65706

Prime factors of 65706 are 2, 3, 47, 233. Prime factorization of 65706 in exponential form is:

65706 = 21 × 31 × 471 × 2331

Prime Factorization of 65710

Prime factors of 65710 are 2, 5, 6571. Prime factorization of 65710 in exponential form is:

65710 = 21 × 51 × 65711

Now multiplying the highest exponent prime factors to calculate the LCM of 65706 and 65710.

LCM(65706,65710) = 21 × 31 × 471 × 2331 × 51 × 65711
LCM(65706,65710) = 2158770630