What is the Least Common Multiple of 63834 and 63847?
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 63834 and 63847 is 4075609398.
LCM(63834,63847) = 4075609398
Least Common Multiple of 63834 and 63847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63834 and 63847, than apply into the LCM equation.
GCF(63834,63847) = 1
LCM(63834,63847) = ( 63834 × 63847) / 1
LCM(63834,63847) = 4075609398 / 1
LCM(63834,63847) = 4075609398
Least Common Multiple (LCM) of 63834 and 63847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63834 and 63847. First we will calculate the prime factors of 63834 and 63847.
Prime Factorization of 63834
Prime factors of 63834 are 2, 3, 10639. Prime factorization of 63834 in exponential form is:
63834 = 21 × 31 × 106391
Prime Factorization of 63847
Prime factors of 63847 are 7, 1303. Prime factorization of 63847 in exponential form is:
63847 = 72 × 13031
Now multiplying the highest exponent prime factors to calculate the LCM of 63834 and 63847.
LCM(63834,63847) = 21 × 31 × 106391 × 72 × 13031
LCM(63834,63847) = 4075609398
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