What is the Least Common Multiple of 63831 and 63851?
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 63831 and 63851 is 4075673181.
LCM(63831,63851) = 4075673181
Least Common Multiple of 63831 and 63851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63831 and 63851, than apply into the LCM equation.
GCF(63831,63851) = 1
LCM(63831,63851) = ( 63831 × 63851) / 1
LCM(63831,63851) = 4075673181 / 1
LCM(63831,63851) = 4075673181
Least Common Multiple (LCM) of 63831 and 63851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63831 and 63851. First we will calculate the prime factors of 63831 and 63851.
Prime Factorization of 63831
Prime factors of 63831 are 3, 21277. Prime factorization of 63831 in exponential form is:
63831 = 31 × 212771
Prime Factorization of 63851
Prime factors of 63851 are 67, 953. Prime factorization of 63851 in exponential form is:
63851 = 671 × 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 63831 and 63851.
LCM(63831,63851) = 31 × 212771 × 671 × 9531
LCM(63831,63851) = 4075673181
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