What is the Least Common Multiple of 5134 and 5139?
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 5134 and 5139 is 26383626.
LCM(5134,5139) = 26383626
Least Common Multiple of 5134 and 5139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5134 and 5139, than apply into the LCM equation.
GCF(5134,5139) = 1
LCM(5134,5139) = ( 5134 × 5139) / 1
LCM(5134,5139) = 26383626 / 1
LCM(5134,5139) = 26383626
Least Common Multiple (LCM) of 5134 and 5139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5134 and 5139. First we will calculate the prime factors of 5134 and 5139.
Prime Factorization of 5134
Prime factors of 5134 are 2, 17, 151. Prime factorization of 5134 in exponential form is:
5134 = 21 × 171 × 1511
Prime Factorization of 5139
Prime factors of 5139 are 3, 571. Prime factorization of 5139 in exponential form is:
5139 = 32 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 5134 and 5139.
LCM(5134,5139) = 21 × 171 × 1511 × 32 × 5711
LCM(5134,5139) = 26383626
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