What is the Least Common Multiple of 4426 and 4438?
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 4426 and 4438 is 9821294.
LCM(4426,4438) = 9821294
Least Common Multiple of 4426 and 4438 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4426 and 4438, than apply into the LCM equation.
GCF(4426,4438) = 2
LCM(4426,4438) = ( 4426 × 4438) / 2
LCM(4426,4438) = 19642588 / 2
LCM(4426,4438) = 9821294
Least Common Multiple (LCM) of 4426 and 4438 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4426 and 4438. First we will calculate the prime factors of 4426 and 4438.
Prime Factorization of 4426
Prime factors of 4426 are 2, 2213. Prime factorization of 4426 in exponential form is:
4426 = 21 × 22131
Prime Factorization of 4438
Prime factors of 4438 are 2, 7, 317. Prime factorization of 4438 in exponential form is:
4438 = 21 × 71 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 4426 and 4438.
LCM(4426,4438) = 21 × 22131 × 71 × 3171
LCM(4426,4438) = 9821294
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