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What is the Least Common Multiple of 93629 and 93639?

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 93629 and 93639 is 8767325931.

LCM(93629,93639) = 8767325931

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Least Common Multiple of 93629 and 93639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93629 and 93639, than apply into the LCM equation.

GCF(93629,93639) = 1
LCM(93629,93639) = ( 93629 × 93639) / 1
LCM(93629,93639) = 8767325931 / 1
LCM(93629,93639) = 8767325931

Least Common Multiple (LCM) of 93629 and 93639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93629 and 93639. First we will calculate the prime factors of 93629 and 93639.

Prime Factorization of 93629

Prime factors of 93629 are 93629. Prime factorization of 93629 in exponential form is:

93629 = 936291

Prime Factorization of 93639

Prime factors of 93639 are 3, 7, 13. Prime factorization of 93639 in exponential form is:

93639 = 31 × 74 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 93629 and 93639.

LCM(93629,93639) = 936291 × 31 × 74 × 131
LCM(93629,93639) = 8767325931