What is the Least Common Multiple of 5152 and 5161?
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 5152 and 5161 is 26589472.
LCM(5152,5161) = 26589472
Least Common Multiple of 5152 and 5161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5152 and 5161, than apply into the LCM equation.
GCF(5152,5161) = 1
LCM(5152,5161) = ( 5152 × 5161) / 1
LCM(5152,5161) = 26589472 / 1
LCM(5152,5161) = 26589472
Least Common Multiple (LCM) of 5152 and 5161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5152 and 5161. First we will calculate the prime factors of 5152 and 5161.
Prime Factorization of 5152
Prime factors of 5152 are 2, 7, 23. Prime factorization of 5152 in exponential form is:
5152 = 25 × 71 × 231
Prime Factorization of 5161
Prime factors of 5161 are 13, 397. Prime factorization of 5161 in exponential form is:
5161 = 131 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 5152 and 5161.
LCM(5152,5161) = 25 × 71 × 231 × 131 × 3971
LCM(5152,5161) = 26589472
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