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What is the Least Common Multiple of 93933 and 93950?

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 93933 and 93950 is 8825005350.

LCM(93933,93950) = 8825005350

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Least Common Multiple of 93933 and 93950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93933 and 93950, than apply into the LCM equation.

GCF(93933,93950) = 1
LCM(93933,93950) = ( 93933 × 93950) / 1
LCM(93933,93950) = 8825005350 / 1
LCM(93933,93950) = 8825005350

Least Common Multiple (LCM) of 93933 and 93950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93933 and 93950. First we will calculate the prime factors of 93933 and 93950.

Prime Factorization of 93933

Prime factors of 93933 are 3, 7, 71. Prime factorization of 93933 in exponential form is:

93933 = 33 × 72 × 711

Prime Factorization of 93950

Prime factors of 93950 are 2, 5, 1879. Prime factorization of 93950 in exponential form is:

93950 = 21 × 52 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 93933 and 93950.

LCM(93933,93950) = 33 × 72 × 711 × 21 × 52 × 18791
LCM(93933,93950) = 8825005350