What is the Least Common Multiple of 5027 and 5034?
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 5034 is 25305918.
LCM(5027,5034) = 25305918
Least Common Multiple of 5027 and 5034 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 5034, than apply into the LCM equation.
GCF(5027,5034) = 1
LCM(5027,5034) = ( 5027 × 5034) / 1
LCM(5027,5034) = 25305918 / 1
LCM(5027,5034) = 25305918
Least Common Multiple (LCM) of 5027 and 5034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5027 and 5034. First we will calculate the prime factors of 5027 and 5034.
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 5034
Prime factors of 5034 are 2, 3, 839. Prime factorization of 5034 in exponential form is:
5034 = 21 × 31 × 8391
Now multiplying the highest exponent prime factors to calculate the LCM of 5027 and 5034.
LCM(5027,5034) = 111 × 4571 × 21 × 31 × 8391
LCM(5027,5034) = 25305918
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