What is the Least Common Multiple of 63951 and 63959?
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 63959 is 4090242009.
LCM(63951,63959) = 4090242009
Least Common Multiple of 63951 and 63959 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 63959, than apply into the LCM equation.
GCF(63951,63959) = 1
LCM(63951,63959) = ( 63951 × 63959) / 1
LCM(63951,63959) = 4090242009 / 1
LCM(63951,63959) = 4090242009
Least Common Multiple (LCM) of 63951 and 63959 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63951 and 63959. First we will calculate the prime factors of 63951 and 63959.
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 63959
Prime factors of 63959 are 7, 9137. Prime factorization of 63959 in exponential form is:
63959 = 71 × 91371
Now multiplying the highest exponent prime factors to calculate the LCM of 63951 and 63959.
LCM(63951,63959) = 31 × 213171 × 71 × 91371
LCM(63951,63959) = 4090242009
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