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What is the Least Common Multiple of 93948 and 93965?

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 93948 and 93965 is 8827823820.

LCM(93948,93965) = 8827823820

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Least Common Multiple of 93948 and 93965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93948 and 93965, than apply into the LCM equation.

GCF(93948,93965) = 1
LCM(93948,93965) = ( 93948 × 93965) / 1
LCM(93948,93965) = 8827823820 / 1
LCM(93948,93965) = 8827823820

Least Common Multiple (LCM) of 93948 and 93965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93948 and 93965. First we will calculate the prime factors of 93948 and 93965.

Prime Factorization of 93948

Prime factors of 93948 are 2, 3, 7829. Prime factorization of 93948 in exponential form is:

93948 = 22 × 31 × 78291

Prime Factorization of 93965

Prime factors of 93965 are 5, 18793. Prime factorization of 93965 in exponential form is:

93965 = 51 × 187931

Now multiplying the highest exponent prime factors to calculate the LCM of 93948 and 93965.

LCM(93948,93965) = 22 × 31 × 78291 × 51 × 187931
LCM(93948,93965) = 8827823820