What is the Least Common Multiple of 11144 and 11148?
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 11144 and 11148 is 31058328.
LCM(11144,11148) = 31058328
Least Common Multiple of 11144 and 11148 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11144 and 11148, than apply into the LCM equation.
GCF(11144,11148) = 4
LCM(11144,11148) = ( 11144 × 11148) / 4
LCM(11144,11148) = 124233312 / 4
LCM(11144,11148) = 31058328
Least Common Multiple (LCM) of 11144 and 11148 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11144 and 11148. First we will calculate the prime factors of 11144 and 11148.
Prime Factorization of 11144
Prime factors of 11144 are 2, 7, 199. Prime factorization of 11144 in exponential form is:
11144 = 23 × 71 × 1991
Prime Factorization of 11148
Prime factors of 11148 are 2, 3, 929. Prime factorization of 11148 in exponential form is:
11148 = 22 × 31 × 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 11144 and 11148.
LCM(11144,11148) = 23 × 71 × 1991 × 31 × 9291
LCM(11144,11148) = 31058328
Related Least Common Multiples of 11144
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