What is the Least Common Multiple of 8818 and 8826?
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 8818 and 8826 is 38913834.
LCM(8818,8826) = 38913834
Least Common Multiple of 8818 and 8826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8818 and 8826, than apply into the LCM equation.
GCF(8818,8826) = 2
LCM(8818,8826) = ( 8818 × 8826) / 2
LCM(8818,8826) = 77827668 / 2
LCM(8818,8826) = 38913834
Least Common Multiple (LCM) of 8818 and 8826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8818 and 8826. First we will calculate the prime factors of 8818 and 8826.
Prime Factorization of 8818
Prime factors of 8818 are 2, 4409. Prime factorization of 8818 in exponential form is:
8818 = 21 × 44091
Prime Factorization of 8826
Prime factors of 8826 are 2, 3, 1471. Prime factorization of 8826 in exponential form is:
8826 = 21 × 31 × 14711
Now multiplying the highest exponent prime factors to calculate the LCM of 8818 and 8826.
LCM(8818,8826) = 21 × 44091 × 31 × 14711
LCM(8818,8826) = 38913834
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Related Least Common Multiples of 8826
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