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What is the Least Common Multiple of 67558 and 67573?

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 67558 and 67573 is 4565096734.

LCM(67558,67573) = 4565096734

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Least Common Multiple of 67558 and 67573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67558 and 67573, than apply into the LCM equation.

GCF(67558,67573) = 1
LCM(67558,67573) = ( 67558 × 67573) / 1
LCM(67558,67573) = 4565096734 / 1
LCM(67558,67573) = 4565096734

Least Common Multiple (LCM) of 67558 and 67573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67558 and 67573. First we will calculate the prime factors of 67558 and 67573.

Prime Factorization of 67558

Prime factors of 67558 are 2, 17, 1987. Prime factorization of 67558 in exponential form is:

67558 = 21 × 171 × 19871

Prime Factorization of 67573

Prime factors of 67573 are 11, 6143. Prime factorization of 67573 in exponential form is:

67573 = 111 × 61431

Now multiplying the highest exponent prime factors to calculate the LCM of 67558 and 67573.

LCM(67558,67573) = 21 × 171 × 19871 × 111 × 61431
LCM(67558,67573) = 4565096734