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What is the Least Common Multiple of 29370 and 29382?

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 29382 is 143824890.

LCM(29370,29382) = 143824890

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Least Common Multiple of 29370 and 29382 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 29382, than apply into the LCM equation.

GCF(29370,29382) = 6
LCM(29370,29382) = ( 29370 × 29382) / 6
LCM(29370,29382) = 862949340 / 6
LCM(29370,29382) = 143824890

Least Common Multiple (LCM) of 29370 and 29382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29370 and 29382. First we will calculate the prime factors of 29370 and 29382.

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 29382

Prime factors of 29382 are 2, 3, 59, 83. Prime factorization of 29382 in exponential form is:

29382 = 21 × 31 × 591 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 29370 and 29382.

LCM(29370,29382) = 21 × 31 × 51 × 111 × 891 × 591 × 831
LCM(29370,29382) = 143824890