What is the Least Common Multiple of 11053 and 11060?
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 11053 and 11060 is 17463740.
LCM(11053,11060) = 17463740
Least Common Multiple of 11053 and 11060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11053 and 11060, than apply into the LCM equation.
GCF(11053,11060) = 7
LCM(11053,11060) = ( 11053 × 11060) / 7
LCM(11053,11060) = 122246180 / 7
LCM(11053,11060) = 17463740
Least Common Multiple (LCM) of 11053 and 11060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11053 and 11060. First we will calculate the prime factors of 11053 and 11060.
Prime Factorization of 11053
Prime factors of 11053 are 7, 1579. Prime factorization of 11053 in exponential form is:
11053 = 71 × 15791
Prime Factorization of 11060
Prime factors of 11060 are 2, 5, 7, 79. Prime factorization of 11060 in exponential form is:
11060 = 22 × 51 × 71 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 11053 and 11060.
LCM(11053,11060) = 71 × 15791 × 22 × 51 × 791
LCM(11053,11060) = 17463740
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