What is the Least Common Multiple of 60031 and 60041?
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 60031 and 60041 is 3604321271.
LCM(60031,60041) = 3604321271
Least Common Multiple of 60031 and 60041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60031 and 60041, than apply into the LCM equation.
GCF(60031,60041) = 1
LCM(60031,60041) = ( 60031 × 60041) / 1
LCM(60031,60041) = 3604321271 / 1
LCM(60031,60041) = 3604321271
Least Common Multiple (LCM) of 60031 and 60041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60031 and 60041. First we will calculate the prime factors of 60031 and 60041.
Prime Factorization of 60031
Prime factors of 60031 are 173, 347. Prime factorization of 60031 in exponential form is:
60031 = 1731 × 3471
Prime Factorization of 60041
Prime factors of 60041 are 60041. Prime factorization of 60041 in exponential form is:
60041 = 600411
Now multiplying the highest exponent prime factors to calculate the LCM of 60031 and 60041.
LCM(60031,60041) = 1731 × 3471 × 600411
LCM(60031,60041) = 3604321271
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