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What is the Least Common Multiple of 18967 and 18974?

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 18967 and 18974 is 359879858.

LCM(18967,18974) = 359879858

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Least Common Multiple of 18967 and 18974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18967 and 18974, than apply into the LCM equation.

GCF(18967,18974) = 1
LCM(18967,18974) = ( 18967 × 18974) / 1
LCM(18967,18974) = 359879858 / 1
LCM(18967,18974) = 359879858

Least Common Multiple (LCM) of 18967 and 18974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18967 and 18974. First we will calculate the prime factors of 18967 and 18974.

Prime Factorization of 18967

Prime factors of 18967 are 13, 1459. Prime factorization of 18967 in exponential form is:

18967 = 131 × 14591

Prime Factorization of 18974

Prime factors of 18974 are 2, 53, 179. Prime factorization of 18974 in exponential form is:

18974 = 21 × 531 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 18967 and 18974.

LCM(18967,18974) = 131 × 14591 × 21 × 531 × 1791
LCM(18967,18974) = 359879858