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What is the Least Common Multiple of 93954 and 93960?

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 93954 and 93960 is 1471319640.

LCM(93954,93960) = 1471319640

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Least Common Multiple of 93954 and 93960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93954 and 93960, than apply into the LCM equation.

GCF(93954,93960) = 6
LCM(93954,93960) = ( 93954 × 93960) / 6
LCM(93954,93960) = 8827917840 / 6
LCM(93954,93960) = 1471319640

Least Common Multiple (LCM) of 93954 and 93960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93954 and 93960. First we will calculate the prime factors of 93954 and 93960.

Prime Factorization of 93954

Prime factors of 93954 are 2, 3, 7, 2237. Prime factorization of 93954 in exponential form is:

93954 = 21 × 31 × 71 × 22371

Prime Factorization of 93960

Prime factors of 93960 are 2, 3, 5, 29. Prime factorization of 93960 in exponential form is:

93960 = 23 × 34 × 51 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 93954 and 93960.

LCM(93954,93960) = 23 × 34 × 71 × 22371 × 51 × 291
LCM(93954,93960) = 1471319640