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What is the Least Common Multiple of 19088 and 19105?

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 19088 and 19105 is 364676240.

LCM(19088,19105) = 364676240

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Least Common Multiple of 19088 and 19105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19088 and 19105, than apply into the LCM equation.

GCF(19088,19105) = 1
LCM(19088,19105) = ( 19088 × 19105) / 1
LCM(19088,19105) = 364676240 / 1
LCM(19088,19105) = 364676240

Least Common Multiple (LCM) of 19088 and 19105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19088 and 19105. First we will calculate the prime factors of 19088 and 19105.

Prime Factorization of 19088

Prime factors of 19088 are 2, 1193. Prime factorization of 19088 in exponential form is:

19088 = 24 × 11931

Prime Factorization of 19105

Prime factors of 19105 are 5, 3821. Prime factorization of 19105 in exponential form is:

19105 = 51 × 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 19088 and 19105.

LCM(19088,19105) = 24 × 11931 × 51 × 38211
LCM(19088,19105) = 364676240