What is the Least Common Multiple of 93821 and 93837?
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 93821 and 93837 is 8803881177.
LCM(93821,93837) = 8803881177
Least Common Multiple of 93821 and 93837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93821 and 93837, than apply into the LCM equation.
GCF(93821,93837) = 1
LCM(93821,93837) = ( 93821 × 93837) / 1
LCM(93821,93837) = 8803881177 / 1
LCM(93821,93837) = 8803881177
Least Common Multiple (LCM) of 93821 and 93837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93821 and 93837. First we will calculate the prime factors of 93821 and 93837.
Prime Factorization of 93821
Prime factors of 93821 are 7, 13, 1031. Prime factorization of 93821 in exponential form is:
93821 = 71 × 131 × 10311
Prime Factorization of 93837
Prime factors of 93837 are 3, 31, 1009. Prime factorization of 93837 in exponential form is:
93837 = 31 × 311 × 10091
Now multiplying the highest exponent prime factors to calculate the LCM of 93821 and 93837.
LCM(93821,93837) = 71 × 131 × 10311 × 31 × 311 × 10091
LCM(93821,93837) = 8803881177
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