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What is the Least Common Multiple of 67558 and 67574?

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 67574 is 2282582146.

LCM(67558,67574) = 2282582146

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Least Common Multiple of 67558 and 67574 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 67574, than apply into the LCM equation.

GCF(67558,67574) = 2
LCM(67558,67574) = ( 67558 × 67574) / 2
LCM(67558,67574) = 4565164292 / 2
LCM(67558,67574) = 2282582146

Least Common Multiple (LCM) of 67558 and 67574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67558 and 67574. First we will calculate the prime factors of 67558 and 67574.

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 67574

Prime factors of 67574 are 2, 13, 23, 113. Prime factorization of 67574 in exponential form is:

67574 = 21 × 131 × 231 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 67558 and 67574.

LCM(67558,67574) = 21 × 171 × 19871 × 131 × 231 × 1131
LCM(67558,67574) = 2282582146