What is the Least Common Multiple of 44304 and 44316?
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 44304 and 44316 is 163614672.
LCM(44304,44316) = 163614672
Least Common Multiple of 44304 and 44316 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44304 and 44316, than apply into the LCM equation.
GCF(44304,44316) = 12
LCM(44304,44316) = ( 44304 × 44316) / 12
LCM(44304,44316) = 1963376064 / 12
LCM(44304,44316) = 163614672
Least Common Multiple (LCM) of 44304 and 44316 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44304 and 44316. First we will calculate the prime factors of 44304 and 44316.
Prime Factorization of 44304
Prime factors of 44304 are 2, 3, 13, 71. Prime factorization of 44304 in exponential form is:
44304 = 24 × 31 × 131 × 711
Prime Factorization of 44316
Prime factors of 44316 are 2, 3, 1231. Prime factorization of 44316 in exponential form is:
44316 = 22 × 32 × 12311
Now multiplying the highest exponent prime factors to calculate the LCM of 44304 and 44316.
LCM(44304,44316) = 24 × 32 × 131 × 711 × 12311
LCM(44304,44316) = 163614672
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