What is the Least Common Multiple of 11043 and 11050?
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 11043 and 11050 is 122025150.
LCM(11043,11050) = 122025150
Least Common Multiple of 11043 and 11050 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11043 and 11050, than apply into the LCM equation.
GCF(11043,11050) = 1
LCM(11043,11050) = ( 11043 × 11050) / 1
LCM(11043,11050) = 122025150 / 1
LCM(11043,11050) = 122025150
Least Common Multiple (LCM) of 11043 and 11050 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11043 and 11050. First we will calculate the prime factors of 11043 and 11050.
Prime Factorization of 11043
Prime factors of 11043 are 3, 409. Prime factorization of 11043 in exponential form is:
11043 = 33 × 4091
Prime Factorization of 11050
Prime factors of 11050 are 2, 5, 13, 17. Prime factorization of 11050 in exponential form is:
11050 = 21 × 52 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 11043 and 11050.
LCM(11043,11050) = 33 × 4091 × 21 × 52 × 131 × 171
LCM(11043,11050) = 122025150
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