What is the Least Common Multiple of 5118 and 5125?
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 5118 and 5125 is 26229750.
LCM(5118,5125) = 26229750
Least Common Multiple of 5118 and 5125 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5118 and 5125, than apply into the LCM equation.
GCF(5118,5125) = 1
LCM(5118,5125) = ( 5118 × 5125) / 1
LCM(5118,5125) = 26229750 / 1
LCM(5118,5125) = 26229750
Least Common Multiple (LCM) of 5118 and 5125 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5118 and 5125. First we will calculate the prime factors of 5118 and 5125.
Prime Factorization of 5118
Prime factors of 5118 are 2, 3, 853. Prime factorization of 5118 in exponential form is:
5118 = 21 × 31 × 8531
Prime Factorization of 5125
Prime factors of 5125 are 5, 41. Prime factorization of 5125 in exponential form is:
5125 = 53 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 5118 and 5125.
LCM(5118,5125) = 21 × 31 × 8531 × 53 × 411
LCM(5118,5125) = 26229750
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