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What is the Least Common Multiple of 18970 and 18981?

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 18970 and 18981 is 360069570.

LCM(18970,18981) = 360069570

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Least Common Multiple of 18970 and 18981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18970 and 18981, than apply into the LCM equation.

GCF(18970,18981) = 1
LCM(18970,18981) = ( 18970 × 18981) / 1
LCM(18970,18981) = 360069570 / 1
LCM(18970,18981) = 360069570

Least Common Multiple (LCM) of 18970 and 18981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18970 and 18981. First we will calculate the prime factors of 18970 and 18981.

Prime Factorization of 18970

Prime factors of 18970 are 2, 5, 7, 271. Prime factorization of 18970 in exponential form is:

18970 = 21 × 51 × 71 × 2711

Prime Factorization of 18981

Prime factors of 18981 are 3, 19, 37. Prime factorization of 18981 in exponential form is:

18981 = 33 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 18970 and 18981.

LCM(18970,18981) = 21 × 51 × 71 × 2711 × 33 × 191 × 371
LCM(18970,18981) = 360069570