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What is the Least Common Multiple of 17951 and 17961?

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 17951 and 17961 is 322417911.

LCM(17951,17961) = 322417911

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Least Common Multiple of 17951 and 17961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17951 and 17961, than apply into the LCM equation.

GCF(17951,17961) = 1
LCM(17951,17961) = ( 17951 × 17961) / 1
LCM(17951,17961) = 322417911 / 1
LCM(17951,17961) = 322417911

Least Common Multiple (LCM) of 17951 and 17961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17951 and 17961. First we will calculate the prime factors of 17951 and 17961.

Prime Factorization of 17951

Prime factors of 17951 are 29, 619. Prime factorization of 17951 in exponential form is:

17951 = 291 × 6191

Prime Factorization of 17961

Prime factors of 17961 are 3, 5987. Prime factorization of 17961 in exponential form is:

17961 = 31 × 59871

Now multiplying the highest exponent prime factors to calculate the LCM of 17951 and 17961.

LCM(17951,17961) = 291 × 6191 × 31 × 59871
LCM(17951,17961) = 322417911