What is the Least Common Multiple of 5130 and 5141?
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 5130 and 5141 is 26373330.
LCM(5130,5141) = 26373330
Least Common Multiple of 5130 and 5141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5130 and 5141, than apply into the LCM equation.
GCF(5130,5141) = 1
LCM(5130,5141) = ( 5130 × 5141) / 1
LCM(5130,5141) = 26373330 / 1
LCM(5130,5141) = 26373330
Least Common Multiple (LCM) of 5130 and 5141 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5130 and 5141. First we will calculate the prime factors of 5130 and 5141.
Prime Factorization of 5130
Prime factors of 5130 are 2, 3, 5, 19. Prime factorization of 5130 in exponential form is:
5130 = 21 × 33 × 51 × 191
Prime Factorization of 5141
Prime factors of 5141 are 53, 97. Prime factorization of 5141 in exponential form is:
5141 = 531 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 5130 and 5141.
LCM(5130,5141) = 21 × 33 × 51 × 191 × 531 × 971
LCM(5130,5141) = 26373330
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