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What is the Least Common Multiple of 29743 and 29753?

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 29743 and 29753 is 884943479.

LCM(29743,29753) = 884943479

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Least Common Multiple of 29743 and 29753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29743 and 29753, than apply into the LCM equation.

GCF(29743,29753) = 1
LCM(29743,29753) = ( 29743 × 29753) / 1
LCM(29743,29753) = 884943479 / 1
LCM(29743,29753) = 884943479

Least Common Multiple (LCM) of 29743 and 29753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29743 and 29753. First we will calculate the prime factors of 29743 and 29753.

Prime Factorization of 29743

Prime factors of 29743 are 7, 607. Prime factorization of 29743 in exponential form is:

29743 = 72 × 6071

Prime Factorization of 29753

Prime factors of 29753 are 29753. Prime factorization of 29753 in exponential form is:

29753 = 297531

Now multiplying the highest exponent prime factors to calculate the LCM of 29743 and 29753.

LCM(29743,29753) = 72 × 6071 × 297531
LCM(29743,29753) = 884943479