What is the Least Common Multiple of 69813 and 69818?
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 69813 and 69818 is 4874204034.
LCM(69813,69818) = 4874204034
Least Common Multiple of 69813 and 69818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69813 and 69818, than apply into the LCM equation.
GCF(69813,69818) = 1
LCM(69813,69818) = ( 69813 × 69818) / 1
LCM(69813,69818) = 4874204034 / 1
LCM(69813,69818) = 4874204034
Least Common Multiple (LCM) of 69813 and 69818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69813 and 69818. First we will calculate the prime factors of 69813 and 69818.
Prime Factorization of 69813
Prime factors of 69813 are 3, 7757. Prime factorization of 69813 in exponential form is:
69813 = 32 × 77571
Prime Factorization of 69818
Prime factors of 69818 are 2, 7, 4987. Prime factorization of 69818 in exponential form is:
69818 = 21 × 71 × 49871
Now multiplying the highest exponent prime factors to calculate the LCM of 69813 and 69818.
LCM(69813,69818) = 32 × 77571 × 21 × 71 × 49871
LCM(69813,69818) = 4874204034
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