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What is the Least Common Multiple of 29534 and 29551?

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 29534 and 29551 is 872759234.

LCM(29534,29551) = 872759234

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Least Common Multiple of 29534 and 29551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29534 and 29551, than apply into the LCM equation.

GCF(29534,29551) = 1
LCM(29534,29551) = ( 29534 × 29551) / 1
LCM(29534,29551) = 872759234 / 1
LCM(29534,29551) = 872759234

Least Common Multiple (LCM) of 29534 and 29551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29534 and 29551. First we will calculate the prime factors of 29534 and 29551.

Prime Factorization of 29534

Prime factors of 29534 are 2, 14767. Prime factorization of 29534 in exponential form is:

29534 = 21 × 147671

Prime Factorization of 29551

Prime factors of 29551 are 29, 1019. Prime factorization of 29551 in exponential form is:

29551 = 291 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 29534 and 29551.

LCM(29534,29551) = 21 × 147671 × 291 × 10191
LCM(29534,29551) = 872759234