What is the Least Common Multiple of 90823 and 90829?
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 90823 and 90829 is 8249362267.
LCM(90823,90829) = 8249362267
Least Common Multiple of 90823 and 90829 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90823 and 90829, than apply into the LCM equation.
GCF(90823,90829) = 1
LCM(90823,90829) = ( 90823 × 90829) / 1
LCM(90823,90829) = 8249362267 / 1
LCM(90823,90829) = 8249362267
Least Common Multiple (LCM) of 90823 and 90829 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90823 and 90829. First we will calculate the prime factors of 90823 and 90829.
Prime Factorization of 90823
Prime factors of 90823 are 90823. Prime factorization of 90823 in exponential form is:
90823 = 908231
Prime Factorization of 90829
Prime factors of 90829 are 61, 1489. Prime factorization of 90829 in exponential form is:
90829 = 611 × 14891
Now multiplying the highest exponent prime factors to calculate the LCM of 90823 and 90829.
LCM(90823,90829) = 908231 × 611 × 14891
LCM(90823,90829) = 8249362267
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