What is the Least Common Multiple of 93832 and 93841?
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 93832 and 93841 is 8805288712.
LCM(93832,93841) = 8805288712
Least Common Multiple of 93832 and 93841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93832 and 93841, than apply into the LCM equation.
GCF(93832,93841) = 1
LCM(93832,93841) = ( 93832 × 93841) / 1
LCM(93832,93841) = 8805288712 / 1
LCM(93832,93841) = 8805288712
Least Common Multiple (LCM) of 93832 and 93841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93832 and 93841. First we will calculate the prime factors of 93832 and 93841.
Prime Factorization of 93832
Prime factors of 93832 are 2, 37, 317. Prime factorization of 93832 in exponential form is:
93832 = 23 × 371 × 3171
Prime Factorization of 93841
Prime factors of 93841 are 11, 19, 449. Prime factorization of 93841 in exponential form is:
93841 = 111 × 191 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 93832 and 93841.
LCM(93832,93841) = 23 × 371 × 3171 × 111 × 191 × 4491
LCM(93832,93841) = 8805288712
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