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What is the Least Common Multiple of 29419 and 29436?

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 29419 and 29436 is 865977684.

LCM(29419,29436) = 865977684

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Least Common Multiple of 29419 and 29436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29419 and 29436, than apply into the LCM equation.

GCF(29419,29436) = 1
LCM(29419,29436) = ( 29419 × 29436) / 1
LCM(29419,29436) = 865977684 / 1
LCM(29419,29436) = 865977684

Least Common Multiple (LCM) of 29419 and 29436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29419 and 29436. First we will calculate the prime factors of 29419 and 29436.

Prime Factorization of 29419

Prime factors of 29419 are 13, 31, 73. Prime factorization of 29419 in exponential form is:

29419 = 131 × 311 × 731

Prime Factorization of 29436

Prime factors of 29436 are 2, 3, 11, 223. Prime factorization of 29436 in exponential form is:

29436 = 22 × 31 × 111 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 29419 and 29436.

LCM(29419,29436) = 131 × 311 × 731 × 22 × 31 × 111 × 2231
LCM(29419,29436) = 865977684