What is the Least Common Multiple of 60121 and 60141?
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 60121 and 60141 is 3615737061.
LCM(60121,60141) = 3615737061
Least Common Multiple of 60121 and 60141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60121 and 60141, than apply into the LCM equation.
GCF(60121,60141) = 1
LCM(60121,60141) = ( 60121 × 60141) / 1
LCM(60121,60141) = 3615737061 / 1
LCM(60121,60141) = 3615737061
Least Common Multiple (LCM) of 60121 and 60141 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60121 and 60141. First we will calculate the prime factors of 60121 and 60141.
Prime Factorization of 60121
Prime factors of 60121 are 59, 1019. Prime factorization of 60121 in exponential form is:
60121 = 591 × 10191
Prime Factorization of 60141
Prime factors of 60141 are 3, 20047. Prime factorization of 60141 in exponential form is:
60141 = 31 × 200471
Now multiplying the highest exponent prime factors to calculate the LCM of 60121 and 60141.
LCM(60121,60141) = 591 × 10191 × 31 × 200471
LCM(60121,60141) = 3615737061
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