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What is the Least Common Multiple of 758 and 774?

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 758 and 774 is 293346.

LCM(758,774) = 293346

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Least Common Multiple of 758 and 774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 758 and 774, than apply into the LCM equation.

GCF(758,774) = 2
LCM(758,774) = ( 758 × 774) / 2
LCM(758,774) = 586692 / 2
LCM(758,774) = 293346

Least Common Multiple (LCM) of 758 and 774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 758 and 774. First we will calculate the prime factors of 758 and 774.

Prime Factorization of 758

Prime factors of 758 are 2, 379. Prime factorization of 758 in exponential form is:

758 = 21 × 3791

Prime Factorization of 774

Prime factors of 774 are 2, 3, 43. Prime factorization of 774 in exponential form is:

774 = 21 × 32 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 758 and 774.

LCM(758,774) = 21 × 3791 × 32 × 431
LCM(758,774) = 293346