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What is the Least Common Multiple of 64510 and 64526?

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 64510 and 64526 is 2081286130.

LCM(64510,64526) = 2081286130

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Least Common Multiple of 64510 and 64526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64510 and 64526, than apply into the LCM equation.

GCF(64510,64526) = 2
LCM(64510,64526) = ( 64510 × 64526) / 2
LCM(64510,64526) = 4162572260 / 2
LCM(64510,64526) = 2081286130

Least Common Multiple (LCM) of 64510 and 64526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64510 and 64526. First we will calculate the prime factors of 64510 and 64526.

Prime Factorization of 64510

Prime factors of 64510 are 2, 5, 6451. Prime factorization of 64510 in exponential form is:

64510 = 21 × 51 × 64511

Prime Factorization of 64526

Prime factors of 64526 are 2, 7, 11, 419. Prime factorization of 64526 in exponential form is:

64526 = 21 × 71 × 111 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 64510 and 64526.

LCM(64510,64526) = 21 × 51 × 64511 × 71 × 111 × 4191
LCM(64510,64526) = 2081286130