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What is the Least Common Multiple of 29437 and 29445?

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 29437 and 29445 is 866772465.

LCM(29437,29445) = 866772465

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Least Common Multiple of 29437 and 29445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29437 and 29445, than apply into the LCM equation.

GCF(29437,29445) = 1
LCM(29437,29445) = ( 29437 × 29445) / 1
LCM(29437,29445) = 866772465 / 1
LCM(29437,29445) = 866772465

Least Common Multiple (LCM) of 29437 and 29445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29437 and 29445. First we will calculate the prime factors of 29437 and 29445.

Prime Factorization of 29437

Prime factors of 29437 are 29437. Prime factorization of 29437 in exponential form is:

29437 = 294371

Prime Factorization of 29445

Prime factors of 29445 are 3, 5, 13, 151. Prime factorization of 29445 in exponential form is:

29445 = 31 × 51 × 131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 29437 and 29445.

LCM(29437,29445) = 294371 × 31 × 51 × 131 × 1511
LCM(29437,29445) = 866772465