What is the Least Common Multiple of 5199 and 5207?
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 5199 and 5207 is 27071193.
LCM(5199,5207) = 27071193
Least Common Multiple of 5199 and 5207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5199 and 5207, than apply into the LCM equation.
GCF(5199,5207) = 1
LCM(5199,5207) = ( 5199 × 5207) / 1
LCM(5199,5207) = 27071193 / 1
LCM(5199,5207) = 27071193
Least Common Multiple (LCM) of 5199 and 5207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5199 and 5207. First we will calculate the prime factors of 5199 and 5207.
Prime Factorization of 5199
Prime factors of 5199 are 3, 1733. Prime factorization of 5199 in exponential form is:
5199 = 31 × 17331
Prime Factorization of 5207
Prime factors of 5207 are 41, 127. Prime factorization of 5207 in exponential form is:
5207 = 411 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 5199 and 5207.
LCM(5199,5207) = 31 × 17331 × 411 × 1271
LCM(5199,5207) = 27071193
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