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What is the Least Common Multiple of 60845 and 60862?

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 60845 and 60862 is 3703148390.

LCM(60845,60862) = 3703148390

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Least Common Multiple of 60845 and 60862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60845 and 60862, than apply into the LCM equation.

GCF(60845,60862) = 1
LCM(60845,60862) = ( 60845 × 60862) / 1
LCM(60845,60862) = 3703148390 / 1
LCM(60845,60862) = 3703148390

Least Common Multiple (LCM) of 60845 and 60862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60845 and 60862. First we will calculate the prime factors of 60845 and 60862.

Prime Factorization of 60845

Prime factors of 60845 are 5, 43, 283. Prime factorization of 60845 in exponential form is:

60845 = 51 × 431 × 2831

Prime Factorization of 60862

Prime factors of 60862 are 2, 30431. Prime factorization of 60862 in exponential form is:

60862 = 21 × 304311

Now multiplying the highest exponent prime factors to calculate the LCM of 60845 and 60862.

LCM(60845,60862) = 51 × 431 × 2831 × 21 × 304311
LCM(60845,60862) = 3703148390