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What is the Least Common Multiple of 29048 and 29063?

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 29048 and 29063 is 844222024.

LCM(29048,29063) = 844222024

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Least Common Multiple of 29048 and 29063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29048 and 29063, than apply into the LCM equation.

GCF(29048,29063) = 1
LCM(29048,29063) = ( 29048 × 29063) / 1
LCM(29048,29063) = 844222024 / 1
LCM(29048,29063) = 844222024

Least Common Multiple (LCM) of 29048 and 29063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29048 and 29063. First we will calculate the prime factors of 29048 and 29063.

Prime Factorization of 29048

Prime factors of 29048 are 2, 3631. Prime factorization of 29048 in exponential form is:

29048 = 23 × 36311

Prime Factorization of 29063

Prime factors of 29063 are 29063. Prime factorization of 29063 in exponential form is:

29063 = 290631

Now multiplying the highest exponent prime factors to calculate the LCM of 29048 and 29063.

LCM(29048,29063) = 23 × 36311 × 290631
LCM(29048,29063) = 844222024