What is the Least Common Multiple of 5476 and 5485?
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 5476 and 5485 is 30035860.
LCM(5476,5485) = 30035860
Least Common Multiple of 5476 and 5485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5476 and 5485, than apply into the LCM equation.
GCF(5476,5485) = 1
LCM(5476,5485) = ( 5476 × 5485) / 1
LCM(5476,5485) = 30035860 / 1
LCM(5476,5485) = 30035860
Least Common Multiple (LCM) of 5476 and 5485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5476 and 5485. First we will calculate the prime factors of 5476 and 5485.
Prime Factorization of 5476
Prime factors of 5476 are 2, 37. Prime factorization of 5476 in exponential form is:
5476 = 22 × 372
Prime Factorization of 5485
Prime factors of 5485 are 5, 1097. Prime factorization of 5485 in exponential form is:
5485 = 51 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 5476 and 5485.
LCM(5476,5485) = 22 × 372 × 51 × 10971
LCM(5476,5485) = 30035860
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