What is the Least Common Multiple of 11057 and 11062?
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 11057 and 11062 is 122312534.
LCM(11057,11062) = 122312534
Least Common Multiple of 11057 and 11062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11057 and 11062, than apply into the LCM equation.
GCF(11057,11062) = 1
LCM(11057,11062) = ( 11057 × 11062) / 1
LCM(11057,11062) = 122312534 / 1
LCM(11057,11062) = 122312534
Least Common Multiple (LCM) of 11057 and 11062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11057 and 11062. First we will calculate the prime factors of 11057 and 11062.
Prime Factorization of 11057
Prime factors of 11057 are 11057. Prime factorization of 11057 in exponential form is:
11057 = 110571
Prime Factorization of 11062
Prime factors of 11062 are 2, 5531. Prime factorization of 11062 in exponential form is:
11062 = 21 × 55311
Now multiplying the highest exponent prime factors to calculate the LCM of 11057 and 11062.
LCM(11057,11062) = 110571 × 21 × 55311
LCM(11057,11062) = 122312534
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