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What is the Least Common Multiple of 29522 and 29537?

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 29522 and 29537 is 871991314.

LCM(29522,29537) = 871991314

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Least Common Multiple of 29522 and 29537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29522 and 29537, than apply into the LCM equation.

GCF(29522,29537) = 1
LCM(29522,29537) = ( 29522 × 29537) / 1
LCM(29522,29537) = 871991314 / 1
LCM(29522,29537) = 871991314

Least Common Multiple (LCM) of 29522 and 29537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29522 and 29537. First we will calculate the prime factors of 29522 and 29537.

Prime Factorization of 29522

Prime factors of 29522 are 2, 29, 509. Prime factorization of 29522 in exponential form is:

29522 = 21 × 291 × 5091

Prime Factorization of 29537

Prime factors of 29537 are 29537. Prime factorization of 29537 in exponential form is:

29537 = 295371

Now multiplying the highest exponent prime factors to calculate the LCM of 29522 and 29537.

LCM(29522,29537) = 21 × 291 × 5091 × 295371
LCM(29522,29537) = 871991314