What is the Least Common Multiple of 63835 and 63850?
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 63835 and 63850 is 815172950.
LCM(63835,63850) = 815172950
Least Common Multiple of 63835 and 63850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63835 and 63850, than apply into the LCM equation.
GCF(63835,63850) = 5
LCM(63835,63850) = ( 63835 × 63850) / 5
LCM(63835,63850) = 4075864750 / 5
LCM(63835,63850) = 815172950
Least Common Multiple (LCM) of 63835 and 63850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63835 and 63850. First we will calculate the prime factors of 63835 and 63850.
Prime Factorization of 63835
Prime factors of 63835 are 5, 17, 751. Prime factorization of 63835 in exponential form is:
63835 = 51 × 171 × 7511
Prime Factorization of 63850
Prime factors of 63850 are 2, 5, 1277. Prime factorization of 63850 in exponential form is:
63850 = 21 × 52 × 12771
Now multiplying the highest exponent prime factors to calculate the LCM of 63835 and 63850.
LCM(63835,63850) = 52 × 171 × 7511 × 21 × 12771
LCM(63835,63850) = 815172950
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