What is the Least Common Multiple of 42887 and 42901?
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 42901 is 1839895187.
LCM(42887,42901) = 1839895187
Least Common Multiple of 42887 and 42901 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 42901, than apply into the LCM equation.
GCF(42887,42901) = 1
LCM(42887,42901) = ( 42887 × 42901) / 1
LCM(42887,42901) = 1839895187 / 1
LCM(42887,42901) = 1839895187
Least Common Multiple (LCM) of 42887 and 42901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42887 and 42901. First we will calculate the prime factors of 42887 and 42901.
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 42901
Prime factors of 42901 are 42901. Prime factorization of 42901 in exponential form is:
42901 = 429011
Now multiplying the highest exponent prime factors to calculate the LCM of 42887 and 42901.
LCM(42887,42901) = 131 × 32991 × 429011
LCM(42887,42901) = 1839895187
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