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What is the Least Common Multiple of 93921 and 93940?

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 93921 and 93940 is 8822938740.

LCM(93921,93940) = 8822938740

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Least Common Multiple of 93921 and 93940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93921 and 93940, than apply into the LCM equation.

GCF(93921,93940) = 1
LCM(93921,93940) = ( 93921 × 93940) / 1
LCM(93921,93940) = 8822938740 / 1
LCM(93921,93940) = 8822938740

Least Common Multiple (LCM) of 93921 and 93940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93921 and 93940. First we will calculate the prime factors of 93921 and 93940.

Prime Factorization of 93921

Prime factors of 93921 are 3, 31307. Prime factorization of 93921 in exponential form is:

93921 = 31 × 313071

Prime Factorization of 93940

Prime factors of 93940 are 2, 5, 7, 11, 61. Prime factorization of 93940 in exponential form is:

93940 = 22 × 51 × 71 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 93921 and 93940.

LCM(93921,93940) = 31 × 313071 × 22 × 51 × 71 × 111 × 611
LCM(93921,93940) = 8822938740