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What is the Least Common Multiple of 17772 and 17781?

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 17772 and 17781 is 105334644.

LCM(17772,17781) = 105334644

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Least Common Multiple of 17772 and 17781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17772 and 17781, than apply into the LCM equation.

GCF(17772,17781) = 3
LCM(17772,17781) = ( 17772 × 17781) / 3
LCM(17772,17781) = 316003932 / 3
LCM(17772,17781) = 105334644

Least Common Multiple (LCM) of 17772 and 17781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17772 and 17781. First we will calculate the prime factors of 17772 and 17781.

Prime Factorization of 17772

Prime factors of 17772 are 2, 3, 1481. Prime factorization of 17772 in exponential form is:

17772 = 22 × 31 × 14811

Prime Factorization of 17781

Prime factors of 17781 are 3, 5927. Prime factorization of 17781 in exponential form is:

17781 = 31 × 59271

Now multiplying the highest exponent prime factors to calculate the LCM of 17772 and 17781.

LCM(17772,17781) = 22 × 31 × 14811 × 59271
LCM(17772,17781) = 105334644