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What is the Least Common Multiple of 18769 and 18776?

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 18769 and 18776 is 352406744.

LCM(18769,18776) = 352406744

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Least Common Multiple of 18769 and 18776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18769 and 18776, than apply into the LCM equation.

GCF(18769,18776) = 1
LCM(18769,18776) = ( 18769 × 18776) / 1
LCM(18769,18776) = 352406744 / 1
LCM(18769,18776) = 352406744

Least Common Multiple (LCM) of 18769 and 18776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18769 and 18776. First we will calculate the prime factors of 18769 and 18776.

Prime Factorization of 18769

Prime factors of 18769 are 137. Prime factorization of 18769 in exponential form is:

18769 = 1372

Prime Factorization of 18776

Prime factors of 18776 are 2, 2347. Prime factorization of 18776 in exponential form is:

18776 = 23 × 23471

Now multiplying the highest exponent prime factors to calculate the LCM of 18769 and 18776.

LCM(18769,18776) = 1372 × 23 × 23471
LCM(18769,18776) = 352406744