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What is the Least Common Multiple of 93877 and 93892?

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 93877 and 93892 is 8814299284.

LCM(93877,93892) = 8814299284

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Least Common Multiple of 93877 and 93892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93877 and 93892, than apply into the LCM equation.

GCF(93877,93892) = 1
LCM(93877,93892) = ( 93877 × 93892) / 1
LCM(93877,93892) = 8814299284 / 1
LCM(93877,93892) = 8814299284

Least Common Multiple (LCM) of 93877 and 93892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93877 and 93892. First we will calculate the prime factors of 93877 and 93892.

Prime Factorization of 93877

Prime factors of 93877 are 7, 13411. Prime factorization of 93877 in exponential form is:

93877 = 71 × 134111

Prime Factorization of 93892

Prime factors of 93892 are 2, 23473. Prime factorization of 93892 in exponential form is:

93892 = 22 × 234731

Now multiplying the highest exponent prime factors to calculate the LCM of 93877 and 93892.

LCM(93877,93892) = 71 × 134111 × 22 × 234731
LCM(93877,93892) = 8814299284