What is the Least Common Multiple of 63833 and 63837?
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 63833 and 63837 is 4074907221.
LCM(63833,63837) = 4074907221
Least Common Multiple of 63833 and 63837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63833 and 63837, than apply into the LCM equation.
GCF(63833,63837) = 1
LCM(63833,63837) = ( 63833 × 63837) / 1
LCM(63833,63837) = 4074907221 / 1
LCM(63833,63837) = 4074907221
Least Common Multiple (LCM) of 63833 and 63837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63833 and 63837. First we will calculate the prime factors of 63833 and 63837.
Prime Factorization of 63833
Prime factors of 63833 are 7, 11, 829. Prime factorization of 63833 in exponential form is:
63833 = 71 × 111 × 8291
Prime Factorization of 63837
Prime factors of 63837 are 3, 41, 173. Prime factorization of 63837 in exponential form is:
63837 = 32 × 411 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 63833 and 63837.
LCM(63833,63837) = 71 × 111 × 8291 × 32 × 411 × 1731
LCM(63833,63837) = 4074907221
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