What is the Least Common Multiple of 63791 and 63795?
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 63791 and 63795 is 4069546845.
LCM(63791,63795) = 4069546845
Least Common Multiple of 63791 and 63795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63791 and 63795, than apply into the LCM equation.
GCF(63791,63795) = 1
LCM(63791,63795) = ( 63791 × 63795) / 1
LCM(63791,63795) = 4069546845 / 1
LCM(63791,63795) = 4069546845
Least Common Multiple (LCM) of 63791 and 63795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63791 and 63795. First we will calculate the prime factors of 63791 and 63795.
Prime Factorization of 63791
Prime factors of 63791 are 7, 13, 701. Prime factorization of 63791 in exponential form is:
63791 = 71 × 131 × 7011
Prime Factorization of 63795
Prime factors of 63795 are 3, 5, 4253. Prime factorization of 63795 in exponential form is:
63795 = 31 × 51 × 42531
Now multiplying the highest exponent prime factors to calculate the LCM of 63791 and 63795.
LCM(63791,63795) = 71 × 131 × 7011 × 31 × 51 × 42531
LCM(63791,63795) = 4069546845
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