What is the Least Common Multiple of 40861 and 40866?
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 40861 and 40866 is 1669825626.
LCM(40861,40866) = 1669825626
Least Common Multiple of 40861 and 40866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40861 and 40866, than apply into the LCM equation.
GCF(40861,40866) = 1
LCM(40861,40866) = ( 40861 × 40866) / 1
LCM(40861,40866) = 1669825626 / 1
LCM(40861,40866) = 1669825626
Least Common Multiple (LCM) of 40861 and 40866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40861 and 40866. First we will calculate the prime factors of 40861 and 40866.
Prime Factorization of 40861
Prime factors of 40861 are 29, 1409. Prime factorization of 40861 in exponential form is:
40861 = 291 × 14091
Prime Factorization of 40866
Prime factors of 40866 are 2, 3, 7, 139. Prime factorization of 40866 in exponential form is:
40866 = 21 × 31 × 72 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 40861 and 40866.
LCM(40861,40866) = 291 × 14091 × 21 × 31 × 72 × 1391
LCM(40861,40866) = 1669825626
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