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What is the Least Common Multiple of 67523 and 67542?

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 67523 and 67542 is 4560638466.

LCM(67523,67542) = 4560638466

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Least Common Multiple of 67523 and 67542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67523 and 67542, than apply into the LCM equation.

GCF(67523,67542) = 1
LCM(67523,67542) = ( 67523 × 67542) / 1
LCM(67523,67542) = 4560638466 / 1
LCM(67523,67542) = 4560638466

Least Common Multiple (LCM) of 67523 and 67542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67523 and 67542. First we will calculate the prime factors of 67523 and 67542.

Prime Factorization of 67523

Prime factors of 67523 are 67523. Prime factorization of 67523 in exponential form is:

67523 = 675231

Prime Factorization of 67542

Prime factors of 67542 are 2, 3, 11257. Prime factorization of 67542 in exponential form is:

67542 = 21 × 31 × 112571

Now multiplying the highest exponent prime factors to calculate the LCM of 67523 and 67542.

LCM(67523,67542) = 675231 × 21 × 31 × 112571
LCM(67523,67542) = 4560638466