What is the Least Common Multiple of 7871 and 7876?
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 7871 and 7876 is 61991996.
LCM(7871,7876) = 61991996
Least Common Multiple of 7871 and 7876 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7871 and 7876, than apply into the LCM equation.
GCF(7871,7876) = 1
LCM(7871,7876) = ( 7871 × 7876) / 1
LCM(7871,7876) = 61991996 / 1
LCM(7871,7876) = 61991996
Least Common Multiple (LCM) of 7871 and 7876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7871 and 7876. First we will calculate the prime factors of 7871 and 7876.
Prime Factorization of 7871
Prime factors of 7871 are 17, 463. Prime factorization of 7871 in exponential form is:
7871 = 171 × 4631
Prime Factorization of 7876
Prime factors of 7876 are 2, 11, 179. Prime factorization of 7876 in exponential form is:
7876 = 22 × 111 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 7871 and 7876.
LCM(7871,7876) = 171 × 4631 × 22 × 111 × 1791
LCM(7871,7876) = 61991996
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