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What is the Least Common Multiple of 29364 and 29374?

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 29364 and 29374 is 431269068.

LCM(29364,29374) = 431269068

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Least Common Multiple of 29364 and 29374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29364 and 29374, than apply into the LCM equation.

GCF(29364,29374) = 2
LCM(29364,29374) = ( 29364 × 29374) / 2
LCM(29364,29374) = 862538136 / 2
LCM(29364,29374) = 431269068

Least Common Multiple (LCM) of 29364 and 29374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29364 and 29374. First we will calculate the prime factors of 29364 and 29374.

Prime Factorization of 29364

Prime factors of 29364 are 2, 3, 2447. Prime factorization of 29364 in exponential form is:

29364 = 22 × 31 × 24471

Prime Factorization of 29374

Prime factors of 29374 are 2, 19, 773. Prime factorization of 29374 in exponential form is:

29374 = 21 × 191 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 29364 and 29374.

LCM(29364,29374) = 22 × 31 × 24471 × 191 × 7731
LCM(29364,29374) = 431269068