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What is the Least Common Multiple of 93492 and 93511?

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 93492 and 93511 is 8742530412.

LCM(93492,93511) = 8742530412

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Least Common Multiple of 93492 and 93511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93492 and 93511, than apply into the LCM equation.

GCF(93492,93511) = 1
LCM(93492,93511) = ( 93492 × 93511) / 1
LCM(93492,93511) = 8742530412 / 1
LCM(93492,93511) = 8742530412

Least Common Multiple (LCM) of 93492 and 93511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93492 and 93511. First we will calculate the prime factors of 93492 and 93511.

Prime Factorization of 93492

Prime factors of 93492 are 2, 3, 7, 53. Prime factorization of 93492 in exponential form is:

93492 = 22 × 32 × 72 × 531

Prime Factorization of 93511

Prime factors of 93511 are 11, 8501. Prime factorization of 93511 in exponential form is:

93511 = 111 × 85011

Now multiplying the highest exponent prime factors to calculate the LCM of 93492 and 93511.

LCM(93492,93511) = 22 × 32 × 72 × 531 × 111 × 85011
LCM(93492,93511) = 8742530412