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What is the Least Common Multiple of 18752 and 18768?

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 18752 and 18768 is 21996096.

LCM(18752,18768) = 21996096

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Least Common Multiple of 18752 and 18768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18752 and 18768, than apply into the LCM equation.

GCF(18752,18768) = 16
LCM(18752,18768) = ( 18752 × 18768) / 16
LCM(18752,18768) = 351937536 / 16
LCM(18752,18768) = 21996096

Least Common Multiple (LCM) of 18752 and 18768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18752 and 18768. First we will calculate the prime factors of 18752 and 18768.

Prime Factorization of 18752

Prime factors of 18752 are 2, 293. Prime factorization of 18752 in exponential form is:

18752 = 26 × 2931

Prime Factorization of 18768

Prime factors of 18768 are 2, 3, 17, 23. Prime factorization of 18768 in exponential form is:

18768 = 24 × 31 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 18752 and 18768.

LCM(18752,18768) = 26 × 2931 × 31 × 171 × 231
LCM(18752,18768) = 21996096