What is the Least Common Multiple of 35884 and 35897?
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 35884 and 35897 is 1288127948.
LCM(35884,35897) = 1288127948
Least Common Multiple of 35884 and 35897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35884 and 35897, than apply into the LCM equation.
GCF(35884,35897) = 1
LCM(35884,35897) = ( 35884 × 35897) / 1
LCM(35884,35897) = 1288127948 / 1
LCM(35884,35897) = 1288127948
Least Common Multiple (LCM) of 35884 and 35897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35884 and 35897. First we will calculate the prime factors of 35884 and 35897.
Prime Factorization of 35884
Prime factors of 35884 are 2, 8971. Prime factorization of 35884 in exponential form is:
35884 = 22 × 89711
Prime Factorization of 35897
Prime factors of 35897 are 35897. Prime factorization of 35897 in exponential form is:
35897 = 358971
Now multiplying the highest exponent prime factors to calculate the LCM of 35884 and 35897.
LCM(35884,35897) = 22 × 89711 × 358971
LCM(35884,35897) = 1288127948
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