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What is the Least Common Multiple of 93492 and 93510?

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 93510 is 485690940.

LCM(93492,93510) = 485690940

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Least Common Multiple of 93492 and 93510 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 93510, than apply into the LCM equation.

GCF(93492,93510) = 18
LCM(93492,93510) = ( 93492 × 93510) / 18
LCM(93492,93510) = 8742436920 / 18
LCM(93492,93510) = 485690940

Least Common Multiple (LCM) of 93492 and 93510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93492 and 93510. First we will calculate the prime factors of 93492 and 93510.

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 93510

Prime factors of 93510 are 2, 3, 5, 1039. Prime factorization of 93510 in exponential form is:

93510 = 21 × 32 × 51 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 93492 and 93510.

LCM(93492,93510) = 22 × 32 × 72 × 531 × 51 × 10391
LCM(93492,93510) = 485690940