What is the Least Common Multiple of 40886 and 40892?
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 40886 and 40892 is 835955156.
LCM(40886,40892) = 835955156
Least Common Multiple of 40886 and 40892 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40886 and 40892, than apply into the LCM equation.
GCF(40886,40892) = 2
LCM(40886,40892) = ( 40886 × 40892) / 2
LCM(40886,40892) = 1671910312 / 2
LCM(40886,40892) = 835955156
Least Common Multiple (LCM) of 40886 and 40892 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40886 and 40892. First we will calculate the prime factors of 40886 and 40892.
Prime Factorization of 40886
Prime factors of 40886 are 2, 20443. Prime factorization of 40886 in exponential form is:
40886 = 21 × 204431
Prime Factorization of 40892
Prime factors of 40892 are 2, 10223. Prime factorization of 40892 in exponential form is:
40892 = 22 × 102231
Now multiplying the highest exponent prime factors to calculate the LCM of 40886 and 40892.
LCM(40886,40892) = 22 × 204431 × 102231
LCM(40886,40892) = 835955156
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