What is the Least Common Multiple of 11315 and 11332?
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 11315 and 11332 is 128221580.
LCM(11315,11332) = 128221580
Least Common Multiple of 11315 and 11332 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11315 and 11332, than apply into the LCM equation.
GCF(11315,11332) = 1
LCM(11315,11332) = ( 11315 × 11332) / 1
LCM(11315,11332) = 128221580 / 1
LCM(11315,11332) = 128221580
Least Common Multiple (LCM) of 11315 and 11332 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11315 and 11332. First we will calculate the prime factors of 11315 and 11332.
Prime Factorization of 11315
Prime factors of 11315 are 5, 31, 73. Prime factorization of 11315 in exponential form is:
11315 = 51 × 311 × 731
Prime Factorization of 11332
Prime factors of 11332 are 2, 2833. Prime factorization of 11332 in exponential form is:
11332 = 22 × 28331
Now multiplying the highest exponent prime factors to calculate the LCM of 11315 and 11332.
LCM(11315,11332) = 51 × 311 × 731 × 22 × 28331
LCM(11315,11332) = 128221580
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