What is the Least Common Multiple of 93751 and 93771?
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 93751 and 93771 is 8791125021.
LCM(93751,93771) = 8791125021
Least Common Multiple of 93751 and 93771 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93751 and 93771, than apply into the LCM equation.
GCF(93751,93771) = 1
LCM(93751,93771) = ( 93751 × 93771) / 1
LCM(93751,93771) = 8791125021 / 1
LCM(93751,93771) = 8791125021
Least Common Multiple (LCM) of 93751 and 93771 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93751 and 93771. First we will calculate the prime factors of 93751 and 93771.
Prime Factorization of 93751
Prime factors of 93751 are 7, 59, 227. Prime factorization of 93751 in exponential form is:
93751 = 71 × 591 × 2271
Prime Factorization of 93771
Prime factors of 93771 are 3, 23, 151. Prime factorization of 93771 in exponential form is:
93771 = 33 × 231 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 93751 and 93771.
LCM(93751,93771) = 71 × 591 × 2271 × 33 × 231 × 1511
LCM(93751,93771) = 8791125021
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