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What is the Least Common Multiple of 93670 and 93680?

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 93670 and 93680 is 877500560.

LCM(93670,93680) = 877500560

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Least Common Multiple of 93670 and 93680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93670 and 93680, than apply into the LCM equation.

GCF(93670,93680) = 10
LCM(93670,93680) = ( 93670 × 93680) / 10
LCM(93670,93680) = 8775005600 / 10
LCM(93670,93680) = 877500560

Least Common Multiple (LCM) of 93670 and 93680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93670 and 93680. First we will calculate the prime factors of 93670 and 93680.

Prime Factorization of 93670

Prime factors of 93670 are 2, 5, 17, 19, 29. Prime factorization of 93670 in exponential form is:

93670 = 21 × 51 × 171 × 191 × 291

Prime Factorization of 93680

Prime factors of 93680 are 2, 5, 1171. Prime factorization of 93680 in exponential form is:

93680 = 24 × 51 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 93670 and 93680.

LCM(93670,93680) = 24 × 51 × 171 × 191 × 291 × 11711
LCM(93670,93680) = 877500560