What is the Least Common Multiple of 87922 and 87927?
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 87922 and 87927 is 7730717694.
LCM(87922,87927) = 7730717694
Least Common Multiple of 87922 and 87927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87922 and 87927, than apply into the LCM equation.
GCF(87922,87927) = 1
LCM(87922,87927) = ( 87922 × 87927) / 1
LCM(87922,87927) = 7730717694 / 1
LCM(87922,87927) = 7730717694
Least Common Multiple (LCM) of 87922 and 87927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87922 and 87927. First we will calculate the prime factors of 87922 and 87927.
Prime Factorization of 87922
Prime factors of 87922 are 2, 43961. Prime factorization of 87922 in exponential form is:
87922 = 21 × 439611
Prime Factorization of 87927
Prime factors of 87927 are 3, 7, 53, 79. Prime factorization of 87927 in exponential form is:
87927 = 31 × 71 × 531 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 87922 and 87927.
LCM(87922,87927) = 21 × 439611 × 31 × 71 × 531 × 791
LCM(87922,87927) = 7730717694
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