What is the Least Common Multiple of 63831 and 63835?
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 63835 is 4074651885.
LCM(63831,63835) = 4074651885
Least Common Multiple of 63831 and 63835 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 63835, than apply into the LCM equation.
GCF(63831,63835) = 1
LCM(63831,63835) = ( 63831 × 63835) / 1
LCM(63831,63835) = 4074651885 / 1
LCM(63831,63835) = 4074651885
Least Common Multiple (LCM) of 63831 and 63835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63831 and 63835. First we will calculate the prime factors of 63831 and 63835.
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 63835
Prime factors of 63835 are 5, 17, 751. Prime factorization of 63835 in exponential form is:
63835 = 51 × 171 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 63831 and 63835.
LCM(63831,63835) = 31 × 212771 × 51 × 171 × 7511
LCM(63831,63835) = 4074651885
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