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What is the Least Common Multiple of 18770 and 18775?

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 18770 and 18775 is 70481350.

LCM(18770,18775) = 70481350

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Least Common Multiple of 18770 and 18775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18770 and 18775, than apply into the LCM equation.

GCF(18770,18775) = 5
LCM(18770,18775) = ( 18770 × 18775) / 5
LCM(18770,18775) = 352406750 / 5
LCM(18770,18775) = 70481350

Least Common Multiple (LCM) of 18770 and 18775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18770 and 18775. First we will calculate the prime factors of 18770 and 18775.

Prime Factorization of 18770

Prime factors of 18770 are 2, 5, 1877. Prime factorization of 18770 in exponential form is:

18770 = 21 × 51 × 18771

Prime Factorization of 18775

Prime factors of 18775 are 5, 751. Prime factorization of 18775 in exponential form is:

18775 = 52 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 18770 and 18775.

LCM(18770,18775) = 21 × 52 × 18771 × 7511
LCM(18770,18775) = 70481350