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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

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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