What is the Least Common Multiple of 69305 and 69324?
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 69305 and 69324 is 4804499820.
LCM(69305,69324) = 4804499820
Least Common Multiple of 69305 and 69324 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69305 and 69324, than apply into the LCM equation.
GCF(69305,69324) = 1
LCM(69305,69324) = ( 69305 × 69324) / 1
LCM(69305,69324) = 4804499820 / 1
LCM(69305,69324) = 4804499820
Least Common Multiple (LCM) of 69305 and 69324 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69305 and 69324. First we will calculate the prime factors of 69305 and 69324.
Prime Factorization of 69305
Prime factors of 69305 are 5, 83, 167. Prime factorization of 69305 in exponential form is:
69305 = 51 × 831 × 1671
Prime Factorization of 69324
Prime factors of 69324 are 2, 3, 53, 109. Prime factorization of 69324 in exponential form is:
69324 = 22 × 31 × 531 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 69305 and 69324.
LCM(69305,69324) = 51 × 831 × 1671 × 22 × 31 × 531 × 1091
LCM(69305,69324) = 4804499820
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