What is the Least Common Multiple of 42887 and 42898?
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 42887 and 42898 is 1839766526.
LCM(42887,42898) = 1839766526
Least Common Multiple of 42887 and 42898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42887 and 42898, than apply into the LCM equation.
GCF(42887,42898) = 1
LCM(42887,42898) = ( 42887 × 42898) / 1
LCM(42887,42898) = 1839766526 / 1
LCM(42887,42898) = 1839766526
Least Common Multiple (LCM) of 42887 and 42898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42887 and 42898. First we will calculate the prime factors of 42887 and 42898.
Prime Factorization of 42887
Prime factors of 42887 are 13, 3299. Prime factorization of 42887 in exponential form is:
42887 = 131 × 32991
Prime Factorization of 42898
Prime factors of 42898 are 2, 89, 241. Prime factorization of 42898 in exponential form is:
42898 = 21 × 891 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 42887 and 42898.
LCM(42887,42898) = 131 × 32991 × 21 × 891 × 2411
LCM(42887,42898) = 1839766526
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