What is the Least Common Multiple of 41682 and 41692?
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 41682 and 41692 is 868902972.
LCM(41682,41692) = 868902972
Least Common Multiple of 41682 and 41692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41682 and 41692, than apply into the LCM equation.
GCF(41682,41692) = 2
LCM(41682,41692) = ( 41682 × 41692) / 2
LCM(41682,41692) = 1737805944 / 2
LCM(41682,41692) = 868902972
Least Common Multiple (LCM) of 41682 and 41692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41682 and 41692. First we will calculate the prime factors of 41682 and 41692.
Prime Factorization of 41682
Prime factors of 41682 are 2, 3, 6947. Prime factorization of 41682 in exponential form is:
41682 = 21 × 31 × 69471
Prime Factorization of 41692
Prime factors of 41692 are 2, 7, 1489. Prime factorization of 41692 in exponential form is:
41692 = 22 × 71 × 14891
Now multiplying the highest exponent prime factors to calculate the LCM of 41682 and 41692.
LCM(41682,41692) = 22 × 31 × 69471 × 71 × 14891
LCM(41682,41692) = 868902972
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