What is the Least Common Multiple of 11091 and 11102?
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 11091 and 11102 is 123132282.
LCM(11091,11102) = 123132282
Least Common Multiple of 11091 and 11102 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11091 and 11102, than apply into the LCM equation.
GCF(11091,11102) = 1
LCM(11091,11102) = ( 11091 × 11102) / 1
LCM(11091,11102) = 123132282 / 1
LCM(11091,11102) = 123132282
Least Common Multiple (LCM) of 11091 and 11102 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11091 and 11102. First we will calculate the prime factors of 11091 and 11102.
Prime Factorization of 11091
Prime factors of 11091 are 3, 3697. Prime factorization of 11091 in exponential form is:
11091 = 31 × 36971
Prime Factorization of 11102
Prime factors of 11102 are 2, 7, 13, 61. Prime factorization of 11102 in exponential form is:
11102 = 21 × 71 × 131 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 11091 and 11102.
LCM(11091,11102) = 31 × 36971 × 21 × 71 × 131 × 611
LCM(11091,11102) = 123132282
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