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What is the Least Common Multiple of 62804 and 62818?

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 62804 and 62818 is 281801548.

LCM(62804,62818) = 281801548

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Least Common Multiple of 62804 and 62818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62804 and 62818, than apply into the LCM equation.

GCF(62804,62818) = 14
LCM(62804,62818) = ( 62804 × 62818) / 14
LCM(62804,62818) = 3945221672 / 14
LCM(62804,62818) = 281801548

Least Common Multiple (LCM) of 62804 and 62818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62804 and 62818. First we will calculate the prime factors of 62804 and 62818.

Prime Factorization of 62804

Prime factors of 62804 are 2, 7, 2243. Prime factorization of 62804 in exponential form is:

62804 = 22 × 71 × 22431

Prime Factorization of 62818

Prime factors of 62818 are 2, 7, 641. Prime factorization of 62818 in exponential form is:

62818 = 21 × 72 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 62804 and 62818.

LCM(62804,62818) = 22 × 72 × 22431 × 6411
LCM(62804,62818) = 281801548