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What is the Least Common Multiple of 18752 and 18759?

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 18759 is 351768768.

LCM(18752,18759) = 351768768

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Least Common Multiple of 18752 and 18759 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 18759, than apply into the LCM equation.

GCF(18752,18759) = 1
LCM(18752,18759) = ( 18752 × 18759) / 1
LCM(18752,18759) = 351768768 / 1
LCM(18752,18759) = 351768768

Least Common Multiple (LCM) of 18752 and 18759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18752 and 18759. First we will calculate the prime factors of 18752 and 18759.

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 18759

Prime factors of 18759 are 3, 13, 37. Prime factorization of 18759 in exponential form is:

18759 = 31 × 132 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 18752 and 18759.

LCM(18752,18759) = 26 × 2931 × 31 × 132 × 371
LCM(18752,18759) = 351768768