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What is the Least Common Multiple of 60121 and 60133?

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 60133 is 3615256093.

LCM(60121,60133) = 3615256093

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Least Common Multiple of 60121 and 60133 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 60133, than apply into the LCM equation.

GCF(60121,60133) = 1
LCM(60121,60133) = ( 60121 × 60133) / 1
LCM(60121,60133) = 3615256093 / 1
LCM(60121,60133) = 3615256093

Least Common Multiple (LCM) of 60121 and 60133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60121 and 60133. First we will calculate the prime factors of 60121 and 60133.

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 60133

Prime factors of 60133 are 60133. Prime factorization of 60133 in exponential form is:

60133 = 601331

Now multiplying the highest exponent prime factors to calculate the LCM of 60121 and 60133.

LCM(60121,60133) = 591 × 10191 × 601331
LCM(60121,60133) = 3615256093