What is the Least Common Multiple of 69322 and 69328?
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 69322 and 69328 is 2402977808.
LCM(69322,69328) = 2402977808
Least Common Multiple of 69322 and 69328 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69322 and 69328, than apply into the LCM equation.
GCF(69322,69328) = 2
LCM(69322,69328) = ( 69322 × 69328) / 2
LCM(69322,69328) = 4805955616 / 2
LCM(69322,69328) = 2402977808
Least Common Multiple (LCM) of 69322 and 69328 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69322 and 69328. First we will calculate the prime factors of 69322 and 69328.
Prime Factorization of 69322
Prime factors of 69322 are 2, 11, 23, 137. Prime factorization of 69322 in exponential form is:
69322 = 21 × 111 × 231 × 1371
Prime Factorization of 69328
Prime factors of 69328 are 2, 7, 619. Prime factorization of 69328 in exponential form is:
69328 = 24 × 71 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 69322 and 69328.
LCM(69322,69328) = 24 × 111 × 231 × 1371 × 71 × 6191
LCM(69322,69328) = 2402977808
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