What is the Least Common Multiple of 63951 and 63957?
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 63951 and 63957 is 1363371369.
LCM(63951,63957) = 1363371369
Least Common Multiple of 63951 and 63957 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63951 and 63957, than apply into the LCM equation.
GCF(63951,63957) = 3
LCM(63951,63957) = ( 63951 × 63957) / 3
LCM(63951,63957) = 4090114107 / 3
LCM(63951,63957) = 1363371369
Least Common Multiple (LCM) of 63951 and 63957 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63951 and 63957. First we will calculate the prime factors of 63951 and 63957.
Prime Factorization of 63951
Prime factors of 63951 are 3, 21317. Prime factorization of 63951 in exponential form is:
63951 = 31 × 213171
Prime Factorization of 63957
Prime factors of 63957 are 3, 21319. Prime factorization of 63957 in exponential form is:
63957 = 31 × 213191
Now multiplying the highest exponent prime factors to calculate the LCM of 63951 and 63957.
LCM(63951,63957) = 31 × 213171 × 213191
LCM(63951,63957) = 1363371369
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