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What is the Least Common Multiple of 60211 and 60230?

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 60211 and 60230 is 190868870.

LCM(60211,60230) = 190868870

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Least Common Multiple of 60211 and 60230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60211 and 60230, than apply into the LCM equation.

GCF(60211,60230) = 19
LCM(60211,60230) = ( 60211 × 60230) / 19
LCM(60211,60230) = 3626508530 / 19
LCM(60211,60230) = 190868870

Least Common Multiple (LCM) of 60211 and 60230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60211 and 60230. First we will calculate the prime factors of 60211 and 60230.

Prime Factorization of 60211

Prime factors of 60211 are 19, 3169. Prime factorization of 60211 in exponential form is:

60211 = 191 × 31691

Prime Factorization of 60230

Prime factors of 60230 are 2, 5, 19, 317. Prime factorization of 60230 in exponential form is:

60230 = 21 × 51 × 191 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 60211 and 60230.

LCM(60211,60230) = 191 × 31691 × 21 × 51 × 3171
LCM(60211,60230) = 190868870