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What is the Least Common Multiple of 17970 and 17981?

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 17970 and 17981 is 323118570.

LCM(17970,17981) = 323118570

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Least Common Multiple of 17970 and 17981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17970 and 17981, than apply into the LCM equation.

GCF(17970,17981) = 1
LCM(17970,17981) = ( 17970 × 17981) / 1
LCM(17970,17981) = 323118570 / 1
LCM(17970,17981) = 323118570

Least Common Multiple (LCM) of 17970 and 17981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17970 and 17981. First we will calculate the prime factors of 17970 and 17981.

Prime Factorization of 17970

Prime factors of 17970 are 2, 3, 5, 599. Prime factorization of 17970 in exponential form is:

17970 = 21 × 31 × 51 × 5991

Prime Factorization of 17981

Prime factors of 17981 are 17981. Prime factorization of 17981 in exponential form is:

17981 = 179811

Now multiplying the highest exponent prime factors to calculate the LCM of 17970 and 17981.

LCM(17970,17981) = 21 × 31 × 51 × 5991 × 179811
LCM(17970,17981) = 323118570