What is the Least Common Multiple of 5141 and 5148?
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 5141 and 5148 is 26465868.
LCM(5141,5148) = 26465868
Least Common Multiple of 5141 and 5148 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5141 and 5148, than apply into the LCM equation.
GCF(5141,5148) = 1
LCM(5141,5148) = ( 5141 × 5148) / 1
LCM(5141,5148) = 26465868 / 1
LCM(5141,5148) = 26465868
Least Common Multiple (LCM) of 5141 and 5148 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5141 and 5148. First we will calculate the prime factors of 5141 and 5148.
Prime Factorization of 5141
Prime factors of 5141 are 53, 97. Prime factorization of 5141 in exponential form is:
5141 = 531 × 971
Prime Factorization of 5148
Prime factors of 5148 are 2, 3, 11, 13. Prime factorization of 5148 in exponential form is:
5148 = 22 × 32 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 5141 and 5148.
LCM(5141,5148) = 531 × 971 × 22 × 32 × 111 × 131
LCM(5141,5148) = 26465868
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