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What is the Least Common Multiple of 67574 and 67594?

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 67574 and 67594 is 2283798478.

LCM(67574,67594) = 2283798478

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Least Common Multiple of 67574 and 67594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67574 and 67594, than apply into the LCM equation.

GCF(67574,67594) = 2
LCM(67574,67594) = ( 67574 × 67594) / 2
LCM(67574,67594) = 4567596956 / 2
LCM(67574,67594) = 2283798478

Least Common Multiple (LCM) of 67574 and 67594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67574 and 67594. First we will calculate the prime factors of 67574 and 67594.

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

Prime Factorization of 67594

Prime factors of 67594 are 2, 33797. Prime factorization of 67594 in exponential form is:

67594 = 21 × 337971

Now multiplying the highest exponent prime factors to calculate the LCM of 67574 and 67594.

LCM(67574,67594) = 21 × 131 × 231 × 1131 × 337971
LCM(67574,67594) = 2283798478