What is the Least Common Multiple of 63781 and 63791?
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 63781 and 63791 is 4068653771.
LCM(63781,63791) = 4068653771
Least Common Multiple of 63781 and 63791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63781 and 63791, than apply into the LCM equation.
GCF(63781,63791) = 1
LCM(63781,63791) = ( 63781 × 63791) / 1
LCM(63781,63791) = 4068653771 / 1
LCM(63781,63791) = 4068653771
Least Common Multiple (LCM) of 63781 and 63791 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63781 and 63791. First we will calculate the prime factors of 63781 and 63791.
Prime Factorization of 63781
Prime factors of 63781 are 63781. Prime factorization of 63781 in exponential form is:
63781 = 637811
Prime Factorization of 63791
Prime factors of 63791 are 7, 13, 701. Prime factorization of 63791 in exponential form is:
63791 = 71 × 131 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 63781 and 63791.
LCM(63781,63791) = 637811 × 71 × 131 × 7011
LCM(63781,63791) = 4068653771
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