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What is the Least Common Multiple of 93429 and 93434?

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 93429 and 93434 is 8729445186.

LCM(93429,93434) = 8729445186

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Least Common Multiple of 93429 and 93434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93429 and 93434, than apply into the LCM equation.

GCF(93429,93434) = 1
LCM(93429,93434) = ( 93429 × 93434) / 1
LCM(93429,93434) = 8729445186 / 1
LCM(93429,93434) = 8729445186

Least Common Multiple (LCM) of 93429 and 93434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93429 and 93434. First we will calculate the prime factors of 93429 and 93434.

Prime Factorization of 93429

Prime factors of 93429 are 3, 7, 1483. Prime factorization of 93429 in exponential form is:

93429 = 32 × 71 × 14831

Prime Factorization of 93434

Prime factors of 93434 are 2, 11, 31, 137. Prime factorization of 93434 in exponential form is:

93434 = 21 × 111 × 311 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 93429 and 93434.

LCM(93429,93434) = 32 × 71 × 14831 × 21 × 111 × 311 × 1371
LCM(93429,93434) = 8729445186