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What is the Least Common Multiple of 66512 and 66526?

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 66512 and 66526 is 2212388656.

LCM(66512,66526) = 2212388656

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Least Common Multiple of 66512 and 66526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66512 and 66526, than apply into the LCM equation.

GCF(66512,66526) = 2
LCM(66512,66526) = ( 66512 × 66526) / 2
LCM(66512,66526) = 4424777312 / 2
LCM(66512,66526) = 2212388656

Least Common Multiple (LCM) of 66512 and 66526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66512 and 66526. First we will calculate the prime factors of 66512 and 66526.

Prime Factorization of 66512

Prime factors of 66512 are 2, 4157. Prime factorization of 66512 in exponential form is:

66512 = 24 × 41571

Prime Factorization of 66526

Prime factors of 66526 are 2, 29, 31, 37. Prime factorization of 66526 in exponential form is:

66526 = 21 × 291 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 66512 and 66526.

LCM(66512,66526) = 24 × 41571 × 291 × 311 × 371
LCM(66512,66526) = 2212388656