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What is the Least Common Multiple of 65046 and 65064?

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 65046 and 65064 is 705358824.

LCM(65046,65064) = 705358824

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Least Common Multiple of 65046 and 65064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65046 and 65064, than apply into the LCM equation.

GCF(65046,65064) = 6
LCM(65046,65064) = ( 65046 × 65064) / 6
LCM(65046,65064) = 4232152944 / 6
LCM(65046,65064) = 705358824

Least Common Multiple (LCM) of 65046 and 65064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65046 and 65064. First we will calculate the prime factors of 65046 and 65064.

Prime Factorization of 65046

Prime factors of 65046 are 2, 3, 37, 293. Prime factorization of 65046 in exponential form is:

65046 = 21 × 31 × 371 × 2931

Prime Factorization of 65064

Prime factors of 65064 are 2, 3, 2711. Prime factorization of 65064 in exponential form is:

65064 = 23 × 31 × 27111

Now multiplying the highest exponent prime factors to calculate the LCM of 65046 and 65064.

LCM(65046,65064) = 23 × 31 × 371 × 2931 × 27111
LCM(65046,65064) = 705358824