What is the Least Common Multiple of 69818 and 69823?
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 69818 and 69823 is 4874902214.
LCM(69818,69823) = 4874902214
Least Common Multiple of 69818 and 69823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69818 and 69823, than apply into the LCM equation.
GCF(69818,69823) = 1
LCM(69818,69823) = ( 69818 × 69823) / 1
LCM(69818,69823) = 4874902214 / 1
LCM(69818,69823) = 4874902214
Least Common Multiple (LCM) of 69818 and 69823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69818 and 69823. First we will calculate the prime factors of 69818 and 69823.
Prime Factorization of 69818
Prime factors of 69818 are 2, 7, 4987. Prime factorization of 69818 in exponential form is:
69818 = 21 × 71 × 49871
Prime Factorization of 69823
Prime factors of 69823 are 13, 41, 131. Prime factorization of 69823 in exponential form is:
69823 = 131 × 411 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 69818 and 69823.
LCM(69818,69823) = 21 × 71 × 49871 × 131 × 411 × 1311
LCM(69818,69823) = 4874902214
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