What is the Least Common Multiple of 63791 and 63797?
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 63797 is 4069674427.
LCM(63791,63797) = 4069674427
Least Common Multiple of 63791 and 63797 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 63797, than apply into the LCM equation.
GCF(63791,63797) = 1
LCM(63791,63797) = ( 63791 × 63797) / 1
LCM(63791,63797) = 4069674427 / 1
LCM(63791,63797) = 4069674427
Least Common Multiple (LCM) of 63791 and 63797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63791 and 63797. First we will calculate the prime factors of 63791 and 63797.
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 63797
Prime factors of 63797 are 131, 487. Prime factorization of 63797 in exponential form is:
63797 = 1311 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 63791 and 63797.
LCM(63791,63797) = 71 × 131 × 7011 × 1311 × 4871
LCM(63791,63797) = 4069674427
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