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What is the Least Common Multiple of 29370 and 29376?

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 29370 and 29376 is 143795520.

LCM(29370,29376) = 143795520

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Least Common Multiple of 29370 and 29376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29370 and 29376, than apply into the LCM equation.

GCF(29370,29376) = 6
LCM(29370,29376) = ( 29370 × 29376) / 6
LCM(29370,29376) = 862773120 / 6
LCM(29370,29376) = 143795520

Least Common Multiple (LCM) of 29370 and 29376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29370 and 29376. First we will calculate the prime factors of 29370 and 29376.

Prime Factorization of 29370

Prime factors of 29370 are 2, 3, 5, 11, 89. Prime factorization of 29370 in exponential form is:

29370 = 21 × 31 × 51 × 111 × 891

Prime Factorization of 29376

Prime factors of 29376 are 2, 3, 17. Prime factorization of 29376 in exponential form is:

29376 = 26 × 33 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 29370 and 29376.

LCM(29370,29376) = 26 × 33 × 51 × 111 × 891 × 171
LCM(29370,29376) = 143795520