What is the Least Common Multiple of 5149 and 5159?
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 5149 and 5159 is 26563691.
LCM(5149,5159) = 26563691
Least Common Multiple of 5149 and 5159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5149 and 5159, than apply into the LCM equation.
GCF(5149,5159) = 1
LCM(5149,5159) = ( 5149 × 5159) / 1
LCM(5149,5159) = 26563691 / 1
LCM(5149,5159) = 26563691
Least Common Multiple (LCM) of 5149 and 5159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5149 and 5159. First we will calculate the prime factors of 5149 and 5159.
Prime Factorization of 5149
Prime factors of 5149 are 19, 271. Prime factorization of 5149 in exponential form is:
5149 = 191 × 2711
Prime Factorization of 5159
Prime factors of 5159 are 7, 11, 67. Prime factorization of 5159 in exponential form is:
5159 = 71 × 111 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 5149 and 5159.
LCM(5149,5159) = 191 × 2711 × 71 × 111 × 671
LCM(5149,5159) = 26563691
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