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What is the Least Common Multiple of 64082 and 64102?

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 64082 and 64102 is 2053892182.

LCM(64082,64102) = 2053892182

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Least Common Multiple of 64082 and 64102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64082 and 64102, than apply into the LCM equation.

GCF(64082,64102) = 2
LCM(64082,64102) = ( 64082 × 64102) / 2
LCM(64082,64102) = 4107784364 / 2
LCM(64082,64102) = 2053892182

Least Common Multiple (LCM) of 64082 and 64102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64082 and 64102. First we will calculate the prime factors of 64082 and 64102.

Prime Factorization of 64082

Prime factors of 64082 are 2, 179. Prime factorization of 64082 in exponential form is:

64082 = 21 × 1792

Prime Factorization of 64102

Prime factors of 64102 are 2, 32051. Prime factorization of 64102 in exponential form is:

64102 = 21 × 320511

Now multiplying the highest exponent prime factors to calculate the LCM of 64082 and 64102.

LCM(64082,64102) = 21 × 1792 × 320511
LCM(64082,64102) = 2053892182