What is the Least Common Multiple of 69567 and 69576?
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 69567 and 69576 is 1613397864.
LCM(69567,69576) = 1613397864
Least Common Multiple of 69567 and 69576 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69567 and 69576, than apply into the LCM equation.
GCF(69567,69576) = 3
LCM(69567,69576) = ( 69567 × 69576) / 3
LCM(69567,69576) = 4840193592 / 3
LCM(69567,69576) = 1613397864
Least Common Multiple (LCM) of 69567 and 69576 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69567 and 69576. First we will calculate the prime factors of 69567 and 69576.
Prime Factorization of 69567
Prime factors of 69567 are 3, 23189. Prime factorization of 69567 in exponential form is:
69567 = 31 × 231891
Prime Factorization of 69576
Prime factors of 69576 are 2, 3, 13, 223. Prime factorization of 69576 in exponential form is:
69576 = 23 × 31 × 131 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 69567 and 69576.
LCM(69567,69576) = 31 × 231891 × 23 × 131 × 2231
LCM(69567,69576) = 1613397864
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