What is the Least Common Multiple of 69867 and 69882?
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 69867 and 69882 is 1627481898.
LCM(69867,69882) = 1627481898
Least Common Multiple of 69867 and 69882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69867 and 69882, than apply into the LCM equation.
GCF(69867,69882) = 3
LCM(69867,69882) = ( 69867 × 69882) / 3
LCM(69867,69882) = 4882445694 / 3
LCM(69867,69882) = 1627481898
Least Common Multiple (LCM) of 69867 and 69882 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69867 and 69882. First we will calculate the prime factors of 69867 and 69882.
Prime Factorization of 69867
Prime factors of 69867 are 3, 7, 1109. Prime factorization of 69867 in exponential form is:
69867 = 32 × 71 × 11091
Prime Factorization of 69882
Prime factors of 69882 are 2, 3, 19, 613. Prime factorization of 69882 in exponential form is:
69882 = 21 × 31 × 191 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 69867 and 69882.
LCM(69867,69882) = 32 × 71 × 11091 × 21 × 191 × 6131
LCM(69867,69882) = 1627481898
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