What is the Least Common Multiple of 15332 and 15338?
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 15332 and 15338 is 117581108.
LCM(15332,15338) = 117581108
Least Common Multiple of 15332 and 15338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15332 and 15338, than apply into the LCM equation.
GCF(15332,15338) = 2
LCM(15332,15338) = ( 15332 × 15338) / 2
LCM(15332,15338) = 235162216 / 2
LCM(15332,15338) = 117581108
Least Common Multiple (LCM) of 15332 and 15338 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15332 and 15338. First we will calculate the prime factors of 15332 and 15338.
Prime Factorization of 15332
Prime factors of 15332 are 2, 3833. Prime factorization of 15332 in exponential form is:
15332 = 22 × 38331
Prime Factorization of 15338
Prime factors of 15338 are 2, 7669. Prime factorization of 15338 in exponential form is:
15338 = 21 × 76691
Now multiplying the highest exponent prime factors to calculate the LCM of 15332 and 15338.
LCM(15332,15338) = 22 × 38331 × 76691
LCM(15332,15338) = 117581108
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