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What is the Least Common Multiple of 66526 and 66536?

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 66526 and 66536 is 2213186968.

LCM(66526,66536) = 2213186968

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Least Common Multiple of 66526 and 66536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66526 and 66536, than apply into the LCM equation.

GCF(66526,66536) = 2
LCM(66526,66536) = ( 66526 × 66536) / 2
LCM(66526,66536) = 4426373936 / 2
LCM(66526,66536) = 2213186968

Least Common Multiple (LCM) of 66526 and 66536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66526 and 66536. First we will calculate the prime factors of 66526 and 66536.

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

Prime Factorization of 66536

Prime factors of 66536 are 2, 8317. Prime factorization of 66536 in exponential form is:

66536 = 23 × 83171

Now multiplying the highest exponent prime factors to calculate the LCM of 66526 and 66536.

LCM(66526,66536) = 23 × 291 × 311 × 371 × 83171
LCM(66526,66536) = 2213186968