What is the Least Common Multiple of 63895 and 63910?
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 63895 and 63910 is 816705890.
LCM(63895,63910) = 816705890
Least Common Multiple of 63895 and 63910 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63895 and 63910, than apply into the LCM equation.
GCF(63895,63910) = 5
LCM(63895,63910) = ( 63895 × 63910) / 5
LCM(63895,63910) = 4083529450 / 5
LCM(63895,63910) = 816705890
Least Common Multiple (LCM) of 63895 and 63910 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63895 and 63910. First we will calculate the prime factors of 63895 and 63910.
Prime Factorization of 63895
Prime factors of 63895 are 5, 13, 983. Prime factorization of 63895 in exponential form is:
63895 = 51 × 131 × 9831
Prime Factorization of 63910
Prime factors of 63910 are 2, 5, 7, 11, 83. Prime factorization of 63910 in exponential form is:
63910 = 21 × 51 × 71 × 111 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 63895 and 63910.
LCM(63895,63910) = 51 × 131 × 9831 × 21 × 71 × 111 × 831
LCM(63895,63910) = 816705890
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