What is the Least Common Multiple of 5027 and 5035?
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 5027 and 5035 is 25310945.
LCM(5027,5035) = 25310945
Least Common Multiple of 5027 and 5035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5027 and 5035, than apply into the LCM equation.
GCF(5027,5035) = 1
LCM(5027,5035) = ( 5027 × 5035) / 1
LCM(5027,5035) = 25310945 / 1
LCM(5027,5035) = 25310945
Least Common Multiple (LCM) of 5027 and 5035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5027 and 5035. First we will calculate the prime factors of 5027 and 5035.
Prime Factorization of 5027
Prime factors of 5027 are 11, 457. Prime factorization of 5027 in exponential form is:
5027 = 111 × 4571
Prime Factorization of 5035
Prime factors of 5035 are 5, 19, 53. Prime factorization of 5035 in exponential form is:
5035 = 51 × 191 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 5027 and 5035.
LCM(5027,5035) = 111 × 4571 × 51 × 191 × 531
LCM(5027,5035) = 25310945
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