What is the Least Common Multiple of 63945 and 63951?
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 63945 and 63951 is 1363115565.
LCM(63945,63951) = 1363115565
Least Common Multiple of 63945 and 63951 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63945 and 63951, than apply into the LCM equation.
GCF(63945,63951) = 3
LCM(63945,63951) = ( 63945 × 63951) / 3
LCM(63945,63951) = 4089346695 / 3
LCM(63945,63951) = 1363115565
Least Common Multiple (LCM) of 63945 and 63951 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63945 and 63951. First we will calculate the prime factors of 63945 and 63951.
Prime Factorization of 63945
Prime factors of 63945 are 3, 5, 7, 29. Prime factorization of 63945 in exponential form is:
63945 = 32 × 51 × 72 × 291
Prime Factorization of 63951
Prime factors of 63951 are 3, 21317. Prime factorization of 63951 in exponential form is:
63951 = 31 × 213171
Now multiplying the highest exponent prime factors to calculate the LCM of 63945 and 63951.
LCM(63945,63951) = 32 × 51 × 72 × 291 × 213171
LCM(63945,63951) = 1363115565
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