What is the Least Common Multiple of 78781 and 78791?
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 78781 and 78791 is 6207233771.
LCM(78781,78791) = 6207233771
Least Common Multiple of 78781 and 78791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78781 and 78791, than apply into the LCM equation.
GCF(78781,78791) = 1
LCM(78781,78791) = ( 78781 × 78791) / 1
LCM(78781,78791) = 6207233771 / 1
LCM(78781,78791) = 6207233771
Least Common Multiple (LCM) of 78781 and 78791 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78781 and 78791. First we will calculate the prime factors of 78781 and 78791.
Prime Factorization of 78781
Prime factors of 78781 are 78781. Prime factorization of 78781 in exponential form is:
78781 = 787811
Prime Factorization of 78791
Prime factors of 78791 are 78791. Prime factorization of 78791 in exponential form is:
78791 = 787911
Now multiplying the highest exponent prime factors to calculate the LCM of 78781 and 78791.
LCM(78781,78791) = 787811 × 787911
LCM(78781,78791) = 6207233771
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