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What is the Least Common Multiple of 29392 and 29399?

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 29392 and 29399 is 864095408.

LCM(29392,29399) = 864095408

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Least Common Multiple of 29392 and 29399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29392 and 29399, than apply into the LCM equation.

GCF(29392,29399) = 1
LCM(29392,29399) = ( 29392 × 29399) / 1
LCM(29392,29399) = 864095408 / 1
LCM(29392,29399) = 864095408

Least Common Multiple (LCM) of 29392 and 29399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29392 and 29399. First we will calculate the prime factors of 29392 and 29399.

Prime Factorization of 29392

Prime factors of 29392 are 2, 11, 167. Prime factorization of 29392 in exponential form is:

29392 = 24 × 111 × 1671

Prime Factorization of 29399

Prime factors of 29399 are 29399. Prime factorization of 29399 in exponential form is:

29399 = 293991

Now multiplying the highest exponent prime factors to calculate the LCM of 29392 and 29399.

LCM(29392,29399) = 24 × 111 × 1671 × 293991
LCM(29392,29399) = 864095408