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What is the Least Common Multiple of 60885 and 60890?

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 60885 and 60890 is 741457530.

LCM(60885,60890) = 741457530

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Least Common Multiple of 60885 and 60890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60885 and 60890, than apply into the LCM equation.

GCF(60885,60890) = 5
LCM(60885,60890) = ( 60885 × 60890) / 5
LCM(60885,60890) = 3707287650 / 5
LCM(60885,60890) = 741457530

Least Common Multiple (LCM) of 60885 and 60890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60885 and 60890. First we will calculate the prime factors of 60885 and 60890.

Prime Factorization of 60885

Prime factors of 60885 are 3, 5, 11, 41. Prime factorization of 60885 in exponential form is:

60885 = 33 × 51 × 111 × 411

Prime Factorization of 60890

Prime factors of 60890 are 2, 5, 6089. Prime factorization of 60890 in exponential form is:

60890 = 21 × 51 × 60891

Now multiplying the highest exponent prime factors to calculate the LCM of 60885 and 60890.

LCM(60885,60890) = 33 × 51 × 111 × 411 × 21 × 60891
LCM(60885,60890) = 741457530