What is the Least Common Multiple of 63031 and 63035?
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 63031 and 63035 is 3973159085.
LCM(63031,63035) = 3973159085
Least Common Multiple of 63031 and 63035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63031 and 63035, than apply into the LCM equation.
GCF(63031,63035) = 1
LCM(63031,63035) = ( 63031 × 63035) / 1
LCM(63031,63035) = 3973159085 / 1
LCM(63031,63035) = 3973159085
Least Common Multiple (LCM) of 63031 and 63035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63031 and 63035. First we will calculate the prime factors of 63031 and 63035.
Prime Factorization of 63031
Prime factors of 63031 are 63031. Prime factorization of 63031 in exponential form is:
63031 = 630311
Prime Factorization of 63035
Prime factors of 63035 are 5, 7, 1801. Prime factorization of 63035 in exponential form is:
63035 = 51 × 71 × 18011
Now multiplying the highest exponent prime factors to calculate the LCM of 63031 and 63035.
LCM(63031,63035) = 630311 × 51 × 71 × 18011
LCM(63031,63035) = 3973159085
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