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What is the Least Common Multiple of 67543 and 67562?

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 67543 and 67562 is 4563340166.

LCM(67543,67562) = 4563340166

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Least Common Multiple of 67543 and 67562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67543 and 67562, than apply into the LCM equation.

GCF(67543,67562) = 1
LCM(67543,67562) = ( 67543 × 67562) / 1
LCM(67543,67562) = 4563340166 / 1
LCM(67543,67562) = 4563340166

Least Common Multiple (LCM) of 67543 and 67562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67543 and 67562. First we will calculate the prime factors of 67543 and 67562.

Prime Factorization of 67543

Prime factors of 67543 are 7, 9649. Prime factorization of 67543 in exponential form is:

67543 = 71 × 96491

Prime Factorization of 67562

Prime factors of 67562 are 2, 11, 37, 83. Prime factorization of 67562 in exponential form is:

67562 = 21 × 111 × 371 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 67543 and 67562.

LCM(67543,67562) = 71 × 96491 × 21 × 111 × 371 × 831
LCM(67543,67562) = 4563340166