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What is the Least Common Multiple of 18947 and 18960?

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 18947 and 18960 is 359235120.

LCM(18947,18960) = 359235120

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Least Common Multiple of 18947 and 18960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18947 and 18960, than apply into the LCM equation.

GCF(18947,18960) = 1
LCM(18947,18960) = ( 18947 × 18960) / 1
LCM(18947,18960) = 359235120 / 1
LCM(18947,18960) = 359235120

Least Common Multiple (LCM) of 18947 and 18960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18947 and 18960. First we will calculate the prime factors of 18947 and 18960.

Prime Factorization of 18947

Prime factors of 18947 are 18947. Prime factorization of 18947 in exponential form is:

18947 = 189471

Prime Factorization of 18960

Prime factors of 18960 are 2, 3, 5, 79. Prime factorization of 18960 in exponential form is:

18960 = 24 × 31 × 51 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 18947 and 18960.

LCM(18947,18960) = 189471 × 24 × 31 × 51 × 791
LCM(18947,18960) = 359235120