What is the Least Common Multiple of 11312 and 11327?
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 11312 and 11327 is 128131024.
LCM(11312,11327) = 128131024
Least Common Multiple of 11312 and 11327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11312 and 11327, than apply into the LCM equation.
GCF(11312,11327) = 1
LCM(11312,11327) = ( 11312 × 11327) / 1
LCM(11312,11327) = 128131024 / 1
LCM(11312,11327) = 128131024
Least Common Multiple (LCM) of 11312 and 11327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11312 and 11327. First we will calculate the prime factors of 11312 and 11327.
Prime Factorization of 11312
Prime factors of 11312 are 2, 7, 101. Prime factorization of 11312 in exponential form is:
11312 = 24 × 71 × 1011
Prime Factorization of 11327
Prime factors of 11327 are 47, 241. Prime factorization of 11327 in exponential form is:
11327 = 471 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 11312 and 11327.
LCM(11312,11327) = 24 × 71 × 1011 × 471 × 2411
LCM(11312,11327) = 128131024
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