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What is the Least Common Multiple of 93922 and 93941?

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 93922 and 93941 is 8823126602.

LCM(93922,93941) = 8823126602

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Least Common Multiple of 93922 and 93941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93922 and 93941, than apply into the LCM equation.

GCF(93922,93941) = 1
LCM(93922,93941) = ( 93922 × 93941) / 1
LCM(93922,93941) = 8823126602 / 1
LCM(93922,93941) = 8823126602

Least Common Multiple (LCM) of 93922 and 93941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93922 and 93941. First we will calculate the prime factors of 93922 and 93941.

Prime Factorization of 93922

Prime factors of 93922 are 2, 151, 311. Prime factorization of 93922 in exponential form is:

93922 = 21 × 1511 × 3111

Prime Factorization of 93941

Prime factors of 93941 are 93941. Prime factorization of 93941 in exponential form is:

93941 = 939411

Now multiplying the highest exponent prime factors to calculate the LCM of 93922 and 93941.

LCM(93922,93941) = 21 × 1511 × 3111 × 939411
LCM(93922,93941) = 8823126602