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What is the Least Common Multiple of 67576 and 67592?

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 67576 and 67592 is 570949624.

LCM(67576,67592) = 570949624

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Least Common Multiple of 67576 and 67592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67576 and 67592, than apply into the LCM equation.

GCF(67576,67592) = 8
LCM(67576,67592) = ( 67576 × 67592) / 8
LCM(67576,67592) = 4567596992 / 8
LCM(67576,67592) = 570949624

Least Common Multiple (LCM) of 67576 and 67592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67576 and 67592. First we will calculate the prime factors of 67576 and 67592.

Prime Factorization of 67576

Prime factors of 67576 are 2, 8447. Prime factorization of 67576 in exponential form is:

67576 = 23 × 84471

Prime Factorization of 67592

Prime factors of 67592 are 2, 7, 17, 71. Prime factorization of 67592 in exponential form is:

67592 = 23 × 71 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 67576 and 67592.

LCM(67576,67592) = 23 × 84471 × 71 × 171 × 711
LCM(67576,67592) = 570949624