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What is the Least Common Multiple of 17947 and 17967?

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 17947 and 17967 is 322453749.

LCM(17947,17967) = 322453749

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Least Common Multiple of 17947 and 17967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17947 and 17967, than apply into the LCM equation.

GCF(17947,17967) = 1
LCM(17947,17967) = ( 17947 × 17967) / 1
LCM(17947,17967) = 322453749 / 1
LCM(17947,17967) = 322453749

Least Common Multiple (LCM) of 17947 and 17967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17947 and 17967. First we will calculate the prime factors of 17947 and 17967.

Prime Factorization of 17947

Prime factors of 17947 are 131, 137. Prime factorization of 17947 in exponential form is:

17947 = 1311 × 1371

Prime Factorization of 17967

Prime factors of 17967 are 3, 53, 113. Prime factorization of 17967 in exponential form is:

17967 = 31 × 531 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 17947 and 17967.

LCM(17947,17967) = 1311 × 1371 × 31 × 531 × 1131
LCM(17947,17967) = 322453749