What is the Least Common Multiple of 325 and 338?
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 325 and 338 is 8450.
LCM(325,338) = 8450
Least Common Multiple of 325 and 338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 325 and 338, than apply into the LCM equation.
GCF(325,338) = 13
LCM(325,338) = ( 325 × 338) / 13
LCM(325,338) = 109850 / 13
LCM(325,338) = 8450
Least Common Multiple (LCM) of 325 and 338 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 325 and 338. First we will calculate the prime factors of 325 and 338.
Prime Factorization of 325
Prime factors of 325 are 5, 13. Prime factorization of 325 in exponential form is:
325 = 52 × 131
Prime Factorization of 338
Prime factors of 338 are 2, 13. Prime factorization of 338 in exponential form is:
338 = 21 × 132
Now multiplying the highest exponent prime factors to calculate the LCM of 325 and 338.
LCM(325,338) = 52 × 132 × 21
LCM(325,338) = 8450
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