What is the Least Common Multiple of 11073 and 11091?
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 11073 and 11091 is 40936881.
LCM(11073,11091) = 40936881
Least Common Multiple of 11073 and 11091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11073 and 11091, than apply into the LCM equation.
GCF(11073,11091) = 3
LCM(11073,11091) = ( 11073 × 11091) / 3
LCM(11073,11091) = 122810643 / 3
LCM(11073,11091) = 40936881
Least Common Multiple (LCM) of 11073 and 11091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11073 and 11091. First we will calculate the prime factors of 11073 and 11091.
Prime Factorization of 11073
Prime factors of 11073 are 3, 3691. Prime factorization of 11073 in exponential form is:
11073 = 31 × 36911
Prime Factorization of 11091
Prime factors of 11091 are 3, 3697. Prime factorization of 11091 in exponential form is:
11091 = 31 × 36971
Now multiplying the highest exponent prime factors to calculate the LCM of 11073 and 11091.
LCM(11073,11091) = 31 × 36911 × 36971
LCM(11073,11091) = 40936881
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