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What is the Least Common Multiple of 27429 and 27435?

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 27429 and 27435 is 250838205.

LCM(27429,27435) = 250838205

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Least Common Multiple of 27429 and 27435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27429 and 27435, than apply into the LCM equation.

GCF(27429,27435) = 3
LCM(27429,27435) = ( 27429 × 27435) / 3
LCM(27429,27435) = 752514615 / 3
LCM(27429,27435) = 250838205

Least Common Multiple (LCM) of 27429 and 27435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27429 and 27435. First we will calculate the prime factors of 27429 and 27435.

Prime Factorization of 27429

Prime factors of 27429 are 3, 41, 223. Prime factorization of 27429 in exponential form is:

27429 = 31 × 411 × 2231

Prime Factorization of 27435

Prime factors of 27435 are 3, 5, 31, 59. Prime factorization of 27435 in exponential form is:

27435 = 31 × 51 × 311 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 27429 and 27435.

LCM(27429,27435) = 31 × 411 × 2231 × 51 × 311 × 591
LCM(27429,27435) = 250838205