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What is the Least Common Multiple of 29394 and 29400?

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 29394 and 29400 is 144030600.

LCM(29394,29400) = 144030600

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Least Common Multiple of 29394 and 29400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29394 and 29400, than apply into the LCM equation.

GCF(29394,29400) = 6
LCM(29394,29400) = ( 29394 × 29400) / 6
LCM(29394,29400) = 864183600 / 6
LCM(29394,29400) = 144030600

Least Common Multiple (LCM) of 29394 and 29400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29394 and 29400. First we will calculate the prime factors of 29394 and 29400.

Prime Factorization of 29394

Prime factors of 29394 are 2, 3, 23, 71. Prime factorization of 29394 in exponential form is:

29394 = 21 × 32 × 231 × 711

Prime Factorization of 29400

Prime factors of 29400 are 2, 3, 5, 7. Prime factorization of 29400 in exponential form is:

29400 = 23 × 31 × 52 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 29394 and 29400.

LCM(29394,29400) = 23 × 32 × 231 × 711 × 52 × 72
LCM(29394,29400) = 144030600

Related Least Common Multiples of 29394

Related Least Common Multiples of 29400