What is the Least Common Multiple of 7793 and 7801?
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 7793 and 7801 is 60793193.
LCM(7793,7801) = 60793193
Least Common Multiple of 7793 and 7801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7793 and 7801, than apply into the LCM equation.
GCF(7793,7801) = 1
LCM(7793,7801) = ( 7793 × 7801) / 1
LCM(7793,7801) = 60793193 / 1
LCM(7793,7801) = 60793193
Least Common Multiple (LCM) of 7793 and 7801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7793 and 7801. First we will calculate the prime factors of 7793 and 7801.
Prime Factorization of 7793
Prime factors of 7793 are 7793. Prime factorization of 7793 in exponential form is:
7793 = 77931
Prime Factorization of 7801
Prime factors of 7801 are 29, 269. Prime factorization of 7801 in exponential form is:
7801 = 291 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 7793 and 7801.
LCM(7793,7801) = 77931 × 291 × 2691
LCM(7793,7801) = 60793193
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