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What is the Least Common Multiple of 17776 and 17790?

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 17776 and 17790 is 158117520.

LCM(17776,17790) = 158117520

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Least Common Multiple of 17776 and 17790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17776 and 17790, than apply into the LCM equation.

GCF(17776,17790) = 2
LCM(17776,17790) = ( 17776 × 17790) / 2
LCM(17776,17790) = 316235040 / 2
LCM(17776,17790) = 158117520

Least Common Multiple (LCM) of 17776 and 17790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17776 and 17790. First we will calculate the prime factors of 17776 and 17790.

Prime Factorization of 17776

Prime factors of 17776 are 2, 11, 101. Prime factorization of 17776 in exponential form is:

17776 = 24 × 111 × 1011

Prime Factorization of 17790

Prime factors of 17790 are 2, 3, 5, 593. Prime factorization of 17790 in exponential form is:

17790 = 21 × 31 × 51 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 17776 and 17790.

LCM(17776,17790) = 24 × 111 × 1011 × 31 × 51 × 5931
LCM(17776,17790) = 158117520