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What is the Least Common Multiple of 38761 and 38774?

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 38761 and 38774 is 1502919014.

LCM(38761,38774) = 1502919014

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Least Common Multiple of 38761 and 38774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38761 and 38774, than apply into the LCM equation.

GCF(38761,38774) = 1
LCM(38761,38774) = ( 38761 × 38774) / 1
LCM(38761,38774) = 1502919014 / 1
LCM(38761,38774) = 1502919014

Least Common Multiple (LCM) of 38761 and 38774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38761 and 38774. First we will calculate the prime factors of 38761 and 38774.

Prime Factorization of 38761

Prime factors of 38761 are 83, 467. Prime factorization of 38761 in exponential form is:

38761 = 831 × 4671

Prime Factorization of 38774

Prime factors of 38774 are 2, 19387. Prime factorization of 38774 in exponential form is:

38774 = 21 × 193871

Now multiplying the highest exponent prime factors to calculate the LCM of 38761 and 38774.

LCM(38761,38774) = 831 × 4671 × 21 × 193871
LCM(38761,38774) = 1502919014