What is the Least Common Multiple of 5476 and 5496?
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 5496 is 7524024.
LCM(5476,5496) = 7524024
Least Common Multiple of 5476 and 5496 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 5496, than apply into the LCM equation.
GCF(5476,5496) = 4
LCM(5476,5496) = ( 5476 × 5496) / 4
LCM(5476,5496) = 30096096 / 4
LCM(5476,5496) = 7524024
Least Common Multiple (LCM) of 5476 and 5496 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5476 and 5496. First we will calculate the prime factors of 5476 and 5496.
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 5496
Prime factors of 5496 are 2, 3, 229. Prime factorization of 5496 in exponential form is:
5496 = 23 × 31 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 5476 and 5496.
LCM(5476,5496) = 23 × 372 × 31 × 2291
LCM(5476,5496) = 7524024
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