What is the Least Common Multiple of 8681 and 8692?
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 8681 and 8692 is 75455252.
LCM(8681,8692) = 75455252
Least Common Multiple of 8681 and 8692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8681 and 8692, than apply into the LCM equation.
GCF(8681,8692) = 1
LCM(8681,8692) = ( 8681 × 8692) / 1
LCM(8681,8692) = 75455252 / 1
LCM(8681,8692) = 75455252
Least Common Multiple (LCM) of 8681 and 8692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8681 and 8692. First we will calculate the prime factors of 8681 and 8692.
Prime Factorization of 8681
Prime factors of 8681 are 8681. Prime factorization of 8681 in exponential form is:
8681 = 86811
Prime Factorization of 8692
Prime factors of 8692 are 2, 41, 53. Prime factorization of 8692 in exponential form is:
8692 = 22 × 411 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 8681 and 8692.
LCM(8681,8692) = 86811 × 22 × 411 × 531
LCM(8681,8692) = 75455252
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