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What is the Least Common Multiple of 60267 and 60282?

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 60267 and 60282 is 1211005098.

LCM(60267,60282) = 1211005098

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Least Common Multiple of 60267 and 60282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60267 and 60282, than apply into the LCM equation.

GCF(60267,60282) = 3
LCM(60267,60282) = ( 60267 × 60282) / 3
LCM(60267,60282) = 3633015294 / 3
LCM(60267,60282) = 1211005098

Least Common Multiple (LCM) of 60267 and 60282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60267 and 60282. First we will calculate the prime factors of 60267 and 60282.

Prime Factorization of 60267

Prime factors of 60267 are 3, 20089. Prime factorization of 60267 in exponential form is:

60267 = 31 × 200891

Prime Factorization of 60282

Prime factors of 60282 are 2, 3, 17, 197. Prime factorization of 60282 in exponential form is:

60282 = 21 × 32 × 171 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 60267 and 60282.

LCM(60267,60282) = 32 × 200891 × 21 × 171 × 1971
LCM(60267,60282) = 1211005098