What is the Least Common Multiple of 5268 and 5278?
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 5268 and 5278 is 13902252.
LCM(5268,5278) = 13902252
Least Common Multiple of 5268 and 5278 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5268 and 5278, than apply into the LCM equation.
GCF(5268,5278) = 2
LCM(5268,5278) = ( 5268 × 5278) / 2
LCM(5268,5278) = 27804504 / 2
LCM(5268,5278) = 13902252
Least Common Multiple (LCM) of 5268 and 5278 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5268 and 5278. First we will calculate the prime factors of 5268 and 5278.
Prime Factorization of 5268
Prime factors of 5268 are 2, 3, 439. Prime factorization of 5268 in exponential form is:
5268 = 22 × 31 × 4391
Prime Factorization of 5278
Prime factors of 5278 are 2, 7, 13, 29. Prime factorization of 5278 in exponential form is:
5278 = 21 × 71 × 131 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 5268 and 5278.
LCM(5268,5278) = 22 × 31 × 4391 × 71 × 131 × 291
LCM(5268,5278) = 13902252
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