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What is the Least Common Multiple of 68649 and 68657?

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 68649 and 68657 is 4713234393.

LCM(68649,68657) = 4713234393

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Least Common Multiple of 68649 and 68657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68649 and 68657, than apply into the LCM equation.

GCF(68649,68657) = 1
LCM(68649,68657) = ( 68649 × 68657) / 1
LCM(68649,68657) = 4713234393 / 1
LCM(68649,68657) = 4713234393

Least Common Multiple (LCM) of 68649 and 68657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68649 and 68657. First we will calculate the prime factors of 68649 and 68657.

Prime Factorization of 68649

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

68649 = 31 × 72 × 4671

Prime Factorization of 68657

Prime factors of 68657 are 71, 967. Prime factorization of 68657 in exponential form is:

68657 = 711 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 68649 and 68657.

LCM(68649,68657) = 31 × 72 × 4671 × 711 × 9671
LCM(68649,68657) = 4713234393