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What is the Least Common Multiple of 62846 and 62866?

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 62846 and 62866 is 1975438318.

LCM(62846,62866) = 1975438318

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Least Common Multiple of 62846 and 62866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62846 and 62866, than apply into the LCM equation.

GCF(62846,62866) = 2
LCM(62846,62866) = ( 62846 × 62866) / 2
LCM(62846,62866) = 3950876636 / 2
LCM(62846,62866) = 1975438318

Least Common Multiple (LCM) of 62846 and 62866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62846 and 62866. First we will calculate the prime factors of 62846 and 62866.

Prime Factorization of 62846

Prime factors of 62846 are 2, 7, 67. Prime factorization of 62846 in exponential form is:

62846 = 21 × 71 × 672

Prime Factorization of 62866

Prime factors of 62866 are 2, 17, 43. Prime factorization of 62866 in exponential form is:

62866 = 21 × 171 × 432

Now multiplying the highest exponent prime factors to calculate the LCM of 62846 and 62866.

LCM(62846,62866) = 21 × 71 × 672 × 171 × 432
LCM(62846,62866) = 1975438318