What is the Least Common Multiple of 63864 and 63872?
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 63864 and 63872 is 509890176.
LCM(63864,63872) = 509890176
Least Common Multiple of 63864 and 63872 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63864 and 63872, than apply into the LCM equation.
GCF(63864,63872) = 8
LCM(63864,63872) = ( 63864 × 63872) / 8
LCM(63864,63872) = 4079121408 / 8
LCM(63864,63872) = 509890176
Least Common Multiple (LCM) of 63864 and 63872 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63864 and 63872. First we will calculate the prime factors of 63864 and 63872.
Prime Factorization of 63864
Prime factors of 63864 are 2, 3, 887. Prime factorization of 63864 in exponential form is:
63864 = 23 × 32 × 8871
Prime Factorization of 63872
Prime factors of 63872 are 2, 499. Prime factorization of 63872 in exponential form is:
63872 = 27 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 63864 and 63872.
LCM(63864,63872) = 27 × 32 × 8871 × 4991
LCM(63864,63872) = 509890176
Related Least Common Multiples of 63864
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Related Least Common Multiples of 63872
- LCM of 63872 and 63876
- LCM of 63872 and 63877
- LCM of 63872 and 63878
- LCM of 63872 and 63879
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- LCM of 63872 and 63882
- LCM of 63872 and 63883
- LCM of 63872 and 63884
- LCM of 63872 and 63885
- LCM of 63872 and 63886
- LCM of 63872 and 63887
- LCM of 63872 and 63888
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- LCM of 63872 and 63890
- LCM of 63872 and 63891
- LCM of 63872 and 63892