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What is the Least Common Multiple of 93092 and 93101?

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 93092 and 93101 is 8666958292.

LCM(93092,93101) = 8666958292

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Least Common Multiple of 93092 and 93101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93092 and 93101, than apply into the LCM equation.

GCF(93092,93101) = 1
LCM(93092,93101) = ( 93092 × 93101) / 1
LCM(93092,93101) = 8666958292 / 1
LCM(93092,93101) = 8666958292

Least Common Multiple (LCM) of 93092 and 93101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93092 and 93101. First we will calculate the prime factors of 93092 and 93101.

Prime Factorization of 93092

Prime factors of 93092 are 2, 17, 37. Prime factorization of 93092 in exponential form is:

93092 = 22 × 171 × 372

Prime Factorization of 93101

Prime factors of 93101 are 157, 593. Prime factorization of 93101 in exponential form is:

93101 = 1571 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 93092 and 93101.

LCM(93092,93101) = 22 × 171 × 372 × 1571 × 5931
LCM(93092,93101) = 8666958292