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What is the Least Common Multiple of 93968 and 93986?

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 93968 and 93986 is 4415838224.

LCM(93968,93986) = 4415838224

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Least Common Multiple of 93968 and 93986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93968 and 93986, than apply into the LCM equation.

GCF(93968,93986) = 2
LCM(93968,93986) = ( 93968 × 93986) / 2
LCM(93968,93986) = 8831676448 / 2
LCM(93968,93986) = 4415838224

Least Common Multiple (LCM) of 93968 and 93986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93968 and 93986. First we will calculate the prime factors of 93968 and 93986.

Prime Factorization of 93968

Prime factors of 93968 are 2, 7, 839. Prime factorization of 93968 in exponential form is:

93968 = 24 × 71 × 8391

Prime Factorization of 93986

Prime factors of 93986 are 2, 46993. Prime factorization of 93986 in exponential form is:

93986 = 21 × 469931

Now multiplying the highest exponent prime factors to calculate the LCM of 93968 and 93986.

LCM(93968,93986) = 24 × 71 × 8391 × 469931
LCM(93968,93986) = 4415838224