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What is the Least Common Multiple of 67525 and 67543?

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 67525 and 67543 is 4560841075.

LCM(67525,67543) = 4560841075

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Least Common Multiple of 67525 and 67543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67525 and 67543, than apply into the LCM equation.

GCF(67525,67543) = 1
LCM(67525,67543) = ( 67525 × 67543) / 1
LCM(67525,67543) = 4560841075 / 1
LCM(67525,67543) = 4560841075

Least Common Multiple (LCM) of 67525 and 67543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67525 and 67543. First we will calculate the prime factors of 67525 and 67543.

Prime Factorization of 67525

Prime factors of 67525 are 5, 37, 73. Prime factorization of 67525 in exponential form is:

67525 = 52 × 371 × 731

Prime Factorization of 67543

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

67543 = 71 × 96491

Now multiplying the highest exponent prime factors to calculate the LCM of 67525 and 67543.

LCM(67525,67543) = 52 × 371 × 731 × 71 × 96491
LCM(67525,67543) = 4560841075