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What is the Least Common Multiple of 17751 and 17767?

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 17751 and 17767 is 315382017.

LCM(17751,17767) = 315382017

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Least Common Multiple of 17751 and 17767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17751 and 17767, than apply into the LCM equation.

GCF(17751,17767) = 1
LCM(17751,17767) = ( 17751 × 17767) / 1
LCM(17751,17767) = 315382017 / 1
LCM(17751,17767) = 315382017

Least Common Multiple (LCM) of 17751 and 17767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17751 and 17767. First we will calculate the prime factors of 17751 and 17767.

Prime Factorization of 17751

Prime factors of 17751 are 3, 61, 97. Prime factorization of 17751 in exponential form is:

17751 = 31 × 611 × 971

Prime Factorization of 17767

Prime factors of 17767 are 109, 163. Prime factorization of 17767 in exponential form is:

17767 = 1091 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 17751 and 17767.

LCM(17751,17767) = 31 × 611 × 971 × 1091 × 1631
LCM(17751,17767) = 315382017