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What is the Least Common Multiple of 65016 and 65034?

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 65016 and 65034 is 234902808.

LCM(65016,65034) = 234902808

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Least Common Multiple of 65016 and 65034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65016 and 65034, than apply into the LCM equation.

GCF(65016,65034) = 18
LCM(65016,65034) = ( 65016 × 65034) / 18
LCM(65016,65034) = 4228250544 / 18
LCM(65016,65034) = 234902808

Least Common Multiple (LCM) of 65016 and 65034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65016 and 65034. First we will calculate the prime factors of 65016 and 65034.

Prime Factorization of 65016

Prime factors of 65016 are 2, 3, 7, 43. Prime factorization of 65016 in exponential form is:

65016 = 23 × 33 × 71 × 431

Prime Factorization of 65034

Prime factors of 65034 are 2, 3, 3613. Prime factorization of 65034 in exponential form is:

65034 = 21 × 32 × 36131

Now multiplying the highest exponent prime factors to calculate the LCM of 65016 and 65034.

LCM(65016,65034) = 23 × 33 × 71 × 431 × 36131
LCM(65016,65034) = 234902808