What is the Least Common Multiple of 63890 and 63895?
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 63890 and 63895 is 816450310.
LCM(63890,63895) = 816450310
Least Common Multiple of 63890 and 63895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63890 and 63895, than apply into the LCM equation.
GCF(63890,63895) = 5
LCM(63890,63895) = ( 63890 × 63895) / 5
LCM(63890,63895) = 4082251550 / 5
LCM(63890,63895) = 816450310
Least Common Multiple (LCM) of 63890 and 63895 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63890 and 63895. First we will calculate the prime factors of 63890 and 63895.
Prime Factorization of 63890
Prime factors of 63890 are 2, 5, 6389. Prime factorization of 63890 in exponential form is:
63890 = 21 × 51 × 63891
Prime Factorization of 63895
Prime factors of 63895 are 5, 13, 983. Prime factorization of 63895 in exponential form is:
63895 = 51 × 131 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 63890 and 63895.
LCM(63890,63895) = 21 × 51 × 63891 × 131 × 9831
LCM(63890,63895) = 816450310
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