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What is the Least Common Multiple of 29742 and 29747?

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 29742 and 29747 is 884735274.

LCM(29742,29747) = 884735274

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Least Common Multiple of 29742 and 29747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29742 and 29747, than apply into the LCM equation.

GCF(29742,29747) = 1
LCM(29742,29747) = ( 29742 × 29747) / 1
LCM(29742,29747) = 884735274 / 1
LCM(29742,29747) = 884735274

Least Common Multiple (LCM) of 29742 and 29747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29742 and 29747. First we will calculate the prime factors of 29742 and 29747.

Prime Factorization of 29742

Prime factors of 29742 are 2, 3, 4957. Prime factorization of 29742 in exponential form is:

29742 = 21 × 31 × 49571

Prime Factorization of 29747

Prime factors of 29747 are 151, 197. Prime factorization of 29747 in exponential form is:

29747 = 1511 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 29742 and 29747.

LCM(29742,29747) = 21 × 31 × 49571 × 1511 × 1971
LCM(29742,29747) = 884735274