What is the Least Common Multiple of 8922 and 8927?
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 8922 and 8927 is 79646694.
LCM(8922,8927) = 79646694
Least Common Multiple of 8922 and 8927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8922 and 8927, than apply into the LCM equation.
GCF(8922,8927) = 1
LCM(8922,8927) = ( 8922 × 8927) / 1
LCM(8922,8927) = 79646694 / 1
LCM(8922,8927) = 79646694
Least Common Multiple (LCM) of 8922 and 8927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8922 and 8927. First we will calculate the prime factors of 8922 and 8927.
Prime Factorization of 8922
Prime factors of 8922 are 2, 3, 1487. Prime factorization of 8922 in exponential form is:
8922 = 21 × 31 × 14871
Prime Factorization of 8927
Prime factors of 8927 are 79, 113. Prime factorization of 8927 in exponential form is:
8927 = 791 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 8922 and 8927.
LCM(8922,8927) = 21 × 31 × 14871 × 791 × 1131
LCM(8922,8927) = 79646694
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