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What is the Least Common Multiple of 68643 and 68656?

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 68643 and 68656 is 4712753808.

LCM(68643,68656) = 4712753808

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Least Common Multiple of 68643 and 68656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68643 and 68656, than apply into the LCM equation.

GCF(68643,68656) = 1
LCM(68643,68656) = ( 68643 × 68656) / 1
LCM(68643,68656) = 4712753808 / 1
LCM(68643,68656) = 4712753808

Least Common Multiple (LCM) of 68643 and 68656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68643 and 68656. First we will calculate the prime factors of 68643 and 68656.

Prime Factorization of 68643

Prime factors of 68643 are 3, 29, 263. Prime factorization of 68643 in exponential form is:

68643 = 32 × 291 × 2631

Prime Factorization of 68656

Prime factors of 68656 are 2, 7, 613. Prime factorization of 68656 in exponential form is:

68656 = 24 × 71 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 68643 and 68656.

LCM(68643,68656) = 32 × 291 × 2631 × 24 × 71 × 6131
LCM(68643,68656) = 4712753808