What is the Least Common Multiple of 4411 and 4426?
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 4411 and 4426 is 19523086.
LCM(4411,4426) = 19523086
Least Common Multiple of 4411 and 4426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4411 and 4426, than apply into the LCM equation.
GCF(4411,4426) = 1
LCM(4411,4426) = ( 4411 × 4426) / 1
LCM(4411,4426) = 19523086 / 1
LCM(4411,4426) = 19523086
Least Common Multiple (LCM) of 4411 and 4426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4411 and 4426. First we will calculate the prime factors of 4411 and 4426.
Prime Factorization of 4411
Prime factors of 4411 are 11, 401. Prime factorization of 4411 in exponential form is:
4411 = 111 × 4011
Prime Factorization of 4426
Prime factors of 4426 are 2, 2213. Prime factorization of 4426 in exponential form is:
4426 = 21 × 22131
Now multiplying the highest exponent prime factors to calculate the LCM of 4411 and 4426.
LCM(4411,4426) = 111 × 4011 × 21 × 22131
LCM(4411,4426) = 19523086
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