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What is the Least Common Multiple of 93933 and 93949?

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 93949 is 8824911417.

LCM(93933,93949) = 8824911417

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Least Common Multiple of 93933 and 93949 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 93949, than apply into the LCM equation.

GCF(93933,93949) = 1
LCM(93933,93949) = ( 93933 × 93949) / 1
LCM(93933,93949) = 8824911417 / 1
LCM(93933,93949) = 8824911417

Least Common Multiple (LCM) of 93933 and 93949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93933 and 93949. First we will calculate the prime factors of 93933 and 93949.

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 93949

Prime factors of 93949 are 93949. Prime factorization of 93949 in exponential form is:

93949 = 939491

Now multiplying the highest exponent prime factors to calculate the LCM of 93933 and 93949.

LCM(93933,93949) = 33 × 72 × 711 × 939491
LCM(93933,93949) = 8824911417