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What is the Least Common Multiple of 68547 and 68561?

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 68547 and 68561 is 4699650867.

LCM(68547,68561) = 4699650867

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Least Common Multiple of 68547 and 68561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68547 and 68561, than apply into the LCM equation.

GCF(68547,68561) = 1
LCM(68547,68561) = ( 68547 × 68561) / 1
LCM(68547,68561) = 4699650867 / 1
LCM(68547,68561) = 4699650867

Least Common Multiple (LCM) of 68547 and 68561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68547 and 68561. First we will calculate the prime factors of 68547 and 68561.

Prime Factorization of 68547

Prime factors of 68547 are 3, 73, 313. Prime factorization of 68547 in exponential form is:

68547 = 31 × 731 × 3131

Prime Factorization of 68561

Prime factors of 68561 are 17, 37, 109. Prime factorization of 68561 in exponential form is:

68561 = 171 × 371 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 68547 and 68561.

LCM(68547,68561) = 31 × 731 × 3131 × 171 × 371 × 1091
LCM(68547,68561) = 4699650867