What is the Least Common Multiple of 5331 and 5345?
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 5331 and 5345 is 28494195.
LCM(5331,5345) = 28494195
Least Common Multiple of 5331 and 5345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5331 and 5345, than apply into the LCM equation.
GCF(5331,5345) = 1
LCM(5331,5345) = ( 5331 × 5345) / 1
LCM(5331,5345) = 28494195 / 1
LCM(5331,5345) = 28494195
Least Common Multiple (LCM) of 5331 and 5345 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5331 and 5345. First we will calculate the prime factors of 5331 and 5345.
Prime Factorization of 5331
Prime factors of 5331 are 3, 1777. Prime factorization of 5331 in exponential form is:
5331 = 31 × 17771
Prime Factorization of 5345
Prime factors of 5345 are 5, 1069. Prime factorization of 5345 in exponential form is:
5345 = 51 × 10691
Now multiplying the highest exponent prime factors to calculate the LCM of 5331 and 5345.
LCM(5331,5345) = 31 × 17771 × 51 × 10691
LCM(5331,5345) = 28494195
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