What is the Least Common Multiple of 63910 and 63917?
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 63910 and 63917 is 583562210.
LCM(63910,63917) = 583562210
Least Common Multiple of 63910 and 63917 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63910 and 63917, than apply into the LCM equation.
GCF(63910,63917) = 7
LCM(63910,63917) = ( 63910 × 63917) / 7
LCM(63910,63917) = 4084935470 / 7
LCM(63910,63917) = 583562210
Least Common Multiple (LCM) of 63910 and 63917 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63910 and 63917. First we will calculate the prime factors of 63910 and 63917.
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
Prime Factorization of 63917
Prime factors of 63917 are 7, 23, 397. Prime factorization of 63917 in exponential form is:
63917 = 71 × 231 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 63910 and 63917.
LCM(63910,63917) = 21 × 51 × 71 × 111 × 831 × 231 × 3971
LCM(63910,63917) = 583562210
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