What is the Least Common Multiple of 11077 and 11081?
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 11077 and 11081 is 122744237.
LCM(11077,11081) = 122744237
Least Common Multiple of 11077 and 11081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11077 and 11081, than apply into the LCM equation.
GCF(11077,11081) = 1
LCM(11077,11081) = ( 11077 × 11081) / 1
LCM(11077,11081) = 122744237 / 1
LCM(11077,11081) = 122744237
Least Common Multiple (LCM) of 11077 and 11081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11077 and 11081. First we will calculate the prime factors of 11077 and 11081.
Prime Factorization of 11077
Prime factors of 11077 are 11, 19, 53. Prime factorization of 11077 in exponential form is:
11077 = 111 × 191 × 531
Prime Factorization of 11081
Prime factors of 11081 are 7, 1583. Prime factorization of 11081 in exponential form is:
11081 = 71 × 15831
Now multiplying the highest exponent prime factors to calculate the LCM of 11077 and 11081.
LCM(11077,11081) = 111 × 191 × 531 × 71 × 15831
LCM(11077,11081) = 122744237
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