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What is the Least Common Multiple of 23770 and 23776?

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 23770 and 23776 is 282577760.

LCM(23770,23776) = 282577760

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Least Common Multiple of 23770 and 23776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23770 and 23776, than apply into the LCM equation.

GCF(23770,23776) = 2
LCM(23770,23776) = ( 23770 × 23776) / 2
LCM(23770,23776) = 565155520 / 2
LCM(23770,23776) = 282577760

Least Common Multiple (LCM) of 23770 and 23776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23770 and 23776. First we will calculate the prime factors of 23770 and 23776.

Prime Factorization of 23770

Prime factors of 23770 are 2, 5, 2377. Prime factorization of 23770 in exponential form is:

23770 = 21 × 51 × 23771

Prime Factorization of 23776

Prime factors of 23776 are 2, 743. Prime factorization of 23776 in exponential form is:

23776 = 25 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 23770 and 23776.

LCM(23770,23776) = 25 × 51 × 23771 × 7431
LCM(23770,23776) = 282577760