What is the Least Common Multiple of 5475 and 5492?
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 5475 and 5492 is 30068700.
LCM(5475,5492) = 30068700
Least Common Multiple of 5475 and 5492 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5475 and 5492, than apply into the LCM equation.
GCF(5475,5492) = 1
LCM(5475,5492) = ( 5475 × 5492) / 1
LCM(5475,5492) = 30068700 / 1
LCM(5475,5492) = 30068700
Least Common Multiple (LCM) of 5475 and 5492 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5475 and 5492. First we will calculate the prime factors of 5475 and 5492.
Prime Factorization of 5475
Prime factors of 5475 are 3, 5, 73. Prime factorization of 5475 in exponential form is:
5475 = 31 × 52 × 731
Prime Factorization of 5492
Prime factors of 5492 are 2, 1373. Prime factorization of 5492 in exponential form is:
5492 = 22 × 13731
Now multiplying the highest exponent prime factors to calculate the LCM of 5475 and 5492.
LCM(5475,5492) = 31 × 52 × 731 × 22 × 13731
LCM(5475,5492) = 30068700
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