What is the Least Common Multiple of 63930 and 63935?
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 63930 and 63935 is 817472910.
LCM(63930,63935) = 817472910
Least Common Multiple of 63930 and 63935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63930 and 63935, than apply into the LCM equation.
GCF(63930,63935) = 5
LCM(63930,63935) = ( 63930 × 63935) / 5
LCM(63930,63935) = 4087364550 / 5
LCM(63930,63935) = 817472910
Least Common Multiple (LCM) of 63930 and 63935 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63930 and 63935. First we will calculate the prime factors of 63930 and 63935.
Prime Factorization of 63930
Prime factors of 63930 are 2, 3, 5, 2131. Prime factorization of 63930 in exponential form is:
63930 = 21 × 31 × 51 × 21311
Prime Factorization of 63935
Prime factors of 63935 are 5, 19, 673. Prime factorization of 63935 in exponential form is:
63935 = 51 × 191 × 6731
Now multiplying the highest exponent prime factors to calculate the LCM of 63930 and 63935.
LCM(63930,63935) = 21 × 31 × 51 × 21311 × 191 × 6731
LCM(63930,63935) = 817472910
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