What is the Least Common Multiple of 5189 and 5206?
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 5189 and 5206 is 27013934.
LCM(5189,5206) = 27013934
Least Common Multiple of 5189 and 5206 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5189 and 5206, than apply into the LCM equation.
GCF(5189,5206) = 1
LCM(5189,5206) = ( 5189 × 5206) / 1
LCM(5189,5206) = 27013934 / 1
LCM(5189,5206) = 27013934
Least Common Multiple (LCM) of 5189 and 5206 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5189 and 5206. First we will calculate the prime factors of 5189 and 5206.
Prime Factorization of 5189
Prime factors of 5189 are 5189. Prime factorization of 5189 in exponential form is:
5189 = 51891
Prime Factorization of 5206
Prime factors of 5206 are 2, 19, 137. Prime factorization of 5206 in exponential form is:
5206 = 21 × 191 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 5189 and 5206.
LCM(5189,5206) = 51891 × 21 × 191 × 1371
LCM(5189,5206) = 27013934
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