What is the Least Common Multiple of 60793 and 60797?
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 60793 and 60797 is 3696032021.
LCM(60793,60797) = 3696032021
Least Common Multiple of 60793 and 60797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60793 and 60797, than apply into the LCM equation.
GCF(60793,60797) = 1
LCM(60793,60797) = ( 60793 × 60797) / 1
LCM(60793,60797) = 3696032021 / 1
LCM(60793,60797) = 3696032021
Least Common Multiple (LCM) of 60793 and 60797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60793 and 60797. First we will calculate the prime factors of 60793 and 60797.
Prime Factorization of 60793
Prime factors of 60793 are 60793. Prime factorization of 60793 in exponential form is:
60793 = 607931
Prime Factorization of 60797
Prime factors of 60797 are 11, 5527. Prime factorization of 60797 in exponential form is:
60797 = 111 × 55271
Now multiplying the highest exponent prime factors to calculate the LCM of 60793 and 60797.
LCM(60793,60797) = 607931 × 111 × 55271
LCM(60793,60797) = 3696032021
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