What is the Least Common Multiple of 63811 and 63826?
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 63811 and 63826 is 4072800886.
LCM(63811,63826) = 4072800886
Least Common Multiple of 63811 and 63826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63811 and 63826, than apply into the LCM equation.
GCF(63811,63826) = 1
LCM(63811,63826) = ( 63811 × 63826) / 1
LCM(63811,63826) = 4072800886 / 1
LCM(63811,63826) = 4072800886
Least Common Multiple (LCM) of 63811 and 63826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63811 and 63826. First we will calculate the prime factors of 63811 and 63826.
Prime Factorization of 63811
Prime factors of 63811 are 11, 5801. Prime factorization of 63811 in exponential form is:
63811 = 111 × 58011
Prime Factorization of 63826
Prime factors of 63826 are 2, 7, 47, 97. Prime factorization of 63826 in exponential form is:
63826 = 21 × 71 × 471 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 63811 and 63826.
LCM(63811,63826) = 111 × 58011 × 21 × 71 × 471 × 971
LCM(63811,63826) = 4072800886
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