What is the Least Common Multiple of 66287 and 66293?
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 66287 and 66293 is 4394364091.
LCM(66287,66293) = 4394364091
Least Common Multiple of 66287 and 66293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66287 and 66293, than apply into the LCM equation.
GCF(66287,66293) = 1
LCM(66287,66293) = ( 66287 × 66293) / 1
LCM(66287,66293) = 4394364091 / 1
LCM(66287,66293) = 4394364091
Least Common Multiple (LCM) of 66287 and 66293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66287 and 66293. First we will calculate the prime factors of 66287 and 66293.
Prime Factorization of 66287
Prime factors of 66287 are 13, 5099. Prime factorization of 66287 in exponential form is:
66287 = 131 × 50991
Prime Factorization of 66293
Prime factors of 66293 are 66293. Prime factorization of 66293 in exponential form is:
66293 = 662931
Now multiplying the highest exponent prime factors to calculate the LCM of 66287 and 66293.
LCM(66287,66293) = 131 × 50991 × 662931
LCM(66287,66293) = 4394364091
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