What is the Least Common Multiple of 5448 and 5458?
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 5448 and 5458 is 14867592.
LCM(5448,5458) = 14867592
Least Common Multiple of 5448 and 5458 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5448 and 5458, than apply into the LCM equation.
GCF(5448,5458) = 2
LCM(5448,5458) = ( 5448 × 5458) / 2
LCM(5448,5458) = 29735184 / 2
LCM(5448,5458) = 14867592
Least Common Multiple (LCM) of 5448 and 5458 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5448 and 5458. First we will calculate the prime factors of 5448 and 5458.
Prime Factorization of 5448
Prime factors of 5448 are 2, 3, 227. Prime factorization of 5448 in exponential form is:
5448 = 23 × 31 × 2271
Prime Factorization of 5458
Prime factors of 5458 are 2, 2729. Prime factorization of 5458 in exponential form is:
5458 = 21 × 27291
Now multiplying the highest exponent prime factors to calculate the LCM of 5448 and 5458.
LCM(5448,5458) = 23 × 31 × 2271 × 27291
LCM(5448,5458) = 14867592
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