What is the Least Common Multiple of 7877 and 7882?
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 7877 and 7882 is 62086514.
LCM(7877,7882) = 62086514
Least Common Multiple of 7877 and 7882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7877 and 7882, than apply into the LCM equation.
GCF(7877,7882) = 1
LCM(7877,7882) = ( 7877 × 7882) / 1
LCM(7877,7882) = 62086514 / 1
LCM(7877,7882) = 62086514
Least Common Multiple (LCM) of 7877 and 7882 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7877 and 7882. First we will calculate the prime factors of 7877 and 7882.
Prime Factorization of 7877
Prime factors of 7877 are 7877. Prime factorization of 7877 in exponential form is:
7877 = 78771
Prime Factorization of 7882
Prime factors of 7882 are 2, 7, 563. Prime factorization of 7882 in exponential form is:
7882 = 21 × 71 × 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 7877 and 7882.
LCM(7877,7882) = 78771 × 21 × 71 × 5631
LCM(7877,7882) = 62086514
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