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What is the Least Common Multiple of 18740 and 18752?

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 18740 and 18752 is 87853120.

LCM(18740,18752) = 87853120

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Least Common Multiple of 18740 and 18752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18740 and 18752, than apply into the LCM equation.

GCF(18740,18752) = 4
LCM(18740,18752) = ( 18740 × 18752) / 4
LCM(18740,18752) = 351412480 / 4
LCM(18740,18752) = 87853120

Least Common Multiple (LCM) of 18740 and 18752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18740 and 18752. First we will calculate the prime factors of 18740 and 18752.

Prime Factorization of 18740

Prime factors of 18740 are 2, 5, 937. Prime factorization of 18740 in exponential form is:

18740 = 22 × 51 × 9371

Prime Factorization of 18752

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

18752 = 26 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 18740 and 18752.

LCM(18740,18752) = 26 × 51 × 9371 × 2931
LCM(18740,18752) = 87853120