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What is the Least Common Multiple of 18750 and 18756?

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 18750 and 18756 is 58612500.

LCM(18750,18756) = 58612500

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Least Common Multiple of 18750 and 18756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18750 and 18756, than apply into the LCM equation.

GCF(18750,18756) = 6
LCM(18750,18756) = ( 18750 × 18756) / 6
LCM(18750,18756) = 351675000 / 6
LCM(18750,18756) = 58612500

Least Common Multiple (LCM) of 18750 and 18756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18750 and 18756. First we will calculate the prime factors of 18750 and 18756.

Prime Factorization of 18750

Prime factors of 18750 are 2, 3, 5. Prime factorization of 18750 in exponential form is:

18750 = 21 × 31 × 55

Prime Factorization of 18756

Prime factors of 18756 are 2, 3, 521. Prime factorization of 18756 in exponential form is:

18756 = 22 × 32 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 18750 and 18756.

LCM(18750,18756) = 22 × 32 × 55 × 5211
LCM(18750,18756) = 58612500