What is the Least Common Multiple of 5138 and 5145?
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 5138 and 5145 is 3776430.
LCM(5138,5145) = 3776430
Least Common Multiple of 5138 and 5145 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5138 and 5145, than apply into the LCM equation.
GCF(5138,5145) = 7
LCM(5138,5145) = ( 5138 × 5145) / 7
LCM(5138,5145) = 26435010 / 7
LCM(5138,5145) = 3776430
Least Common Multiple (LCM) of 5138 and 5145 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5138 and 5145. First we will calculate the prime factors of 5138 and 5145.
Prime Factorization of 5138
Prime factors of 5138 are 2, 7, 367. Prime factorization of 5138 in exponential form is:
5138 = 21 × 71 × 3671
Prime Factorization of 5145
Prime factors of 5145 are 3, 5, 7. Prime factorization of 5145 in exponential form is:
5145 = 31 × 51 × 73
Now multiplying the highest exponent prime factors to calculate the LCM of 5138 and 5145.
LCM(5138,5145) = 21 × 73 × 3671 × 31 × 51
LCM(5138,5145) = 3776430
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