What is the Least Common Multiple of 90811 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 90811 and 90826 is 8247999886.
LCM(90811,90826) = 8247999886
Least Common Multiple of 90811 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 90811 and 90826, than apply into the LCM equation.
GCF(90811,90826) = 1
LCM(90811,90826) = ( 90811 × 90826) / 1
LCM(90811,90826) = 8247999886 / 1
LCM(90811,90826) = 8247999886
Least Common Multiple (LCM) of 90811 and 90826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90811 and 90826. First we will calculate the prime factors of 90811 and 90826.
Prime Factorization of 90811
Prime factors of 90811 are 7, 12973. Prime factorization of 90811 in exponential form is:
90811 = 71 × 129731
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 90811 and 90826.
LCM(90811,90826) = 71 × 129731 × 21 × 454131
LCM(90811,90826) = 8247999886
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