What is the Least Common Multiple of 63875 and 63883?
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 63875 and 63883 is 4080526625.
LCM(63875,63883) = 4080526625
Least Common Multiple of 63875 and 63883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63875 and 63883, than apply into the LCM equation.
GCF(63875,63883) = 1
LCM(63875,63883) = ( 63875 × 63883) / 1
LCM(63875,63883) = 4080526625 / 1
LCM(63875,63883) = 4080526625
Least Common Multiple (LCM) of 63875 and 63883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63875 and 63883. First we will calculate the prime factors of 63875 and 63883.
Prime Factorization of 63875
Prime factors of 63875 are 5, 7, 73. Prime factorization of 63875 in exponential form is:
63875 = 53 × 71 × 731
Prime Factorization of 63883
Prime factors of 63883 are 193, 331. Prime factorization of 63883 in exponential form is:
63883 = 1931 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 63875 and 63883.
LCM(63875,63883) = 53 × 71 × 731 × 1931 × 3311
LCM(63875,63883) = 4080526625
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