What is the Least Common Multiple of 90818 and 90826?
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 90818 and 90826 is 4124317834.
LCM(90818,90826) = 4124317834
Least Common Multiple of 90818 and 90826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90818 and 90826, than apply into the LCM equation.
GCF(90818,90826) = 2
LCM(90818,90826) = ( 90818 × 90826) / 2
LCM(90818,90826) = 8248635668 / 2
LCM(90818,90826) = 4124317834
Least Common Multiple (LCM) of 90818 and 90826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90818 and 90826. First we will calculate the prime factors of 90818 and 90826.
Prime Factorization of 90818
Prime factors of 90818 are 2, 7, 13, 499. Prime factorization of 90818 in exponential form is:
90818 = 21 × 71 × 131 × 4991
Prime Factorization of 90826
Prime factors of 90826 are 2, 45413. Prime factorization of 90826 in exponential form is:
90826 = 21 × 454131
Now multiplying the highest exponent prime factors to calculate the LCM of 90818 and 90826.
LCM(90818,90826) = 21 × 71 × 131 × 4991 × 454131
LCM(90818,90826) = 4124317834
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