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What is the Least Common Multiple of 66526 and 66535?

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 66535 is 4426307410.

LCM(66526,66535) = 4426307410

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Least Common Multiple of 66526 and 66535 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 66535, than apply into the LCM equation.

GCF(66526,66535) = 1
LCM(66526,66535) = ( 66526 × 66535) / 1
LCM(66526,66535) = 4426307410 / 1
LCM(66526,66535) = 4426307410

Least Common Multiple (LCM) of 66526 and 66535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66526 and 66535. First we will calculate the prime factors of 66526 and 66535.

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 66535

Prime factors of 66535 are 5, 7, 1901. Prime factorization of 66535 in exponential form is:

66535 = 51 × 71 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 66526 and 66535.

LCM(66526,66535) = 21 × 291 × 311 × 371 × 51 × 71 × 19011
LCM(66526,66535) = 4426307410