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What is the Least Common Multiple of 29370 and 29378?

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 29378 is 431415930.

LCM(29370,29378) = 431415930

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Least Common Multiple of 29370 and 29378 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 29378, than apply into the LCM equation.

GCF(29370,29378) = 2
LCM(29370,29378) = ( 29370 × 29378) / 2
LCM(29370,29378) = 862831860 / 2
LCM(29370,29378) = 431415930

Least Common Multiple (LCM) of 29370 and 29378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29370 and 29378. First we will calculate the prime factors of 29370 and 29378.

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 29378

Prime factors of 29378 are 2, 37, 397. Prime factorization of 29378 in exponential form is:

29378 = 21 × 371 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 29370 and 29378.

LCM(29370,29378) = 21 × 31 × 51 × 111 × 891 × 371 × 3971
LCM(29370,29378) = 431415930