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What is the Least Common Multiple of 68630 and 68649?

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 68630 and 68649 is 4711380870.

LCM(68630,68649) = 4711380870

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Least Common Multiple of 68630 and 68649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68630 and 68649, than apply into the LCM equation.

GCF(68630,68649) = 1
LCM(68630,68649) = ( 68630 × 68649) / 1
LCM(68630,68649) = 4711380870 / 1
LCM(68630,68649) = 4711380870

Least Common Multiple (LCM) of 68630 and 68649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68630 and 68649. First we will calculate the prime factors of 68630 and 68649.

Prime Factorization of 68630

Prime factors of 68630 are 2, 5, 6863. Prime factorization of 68630 in exponential form is:

68630 = 21 × 51 × 68631

Prime Factorization of 68649

Prime factors of 68649 are 3, 7, 467. Prime factorization of 68649 in exponential form is:

68649 = 31 × 72 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 68630 and 68649.

LCM(68630,68649) = 21 × 51 × 68631 × 31 × 72 × 4671
LCM(68630,68649) = 4711380870