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What is the Least Common Multiple of 10762 and 10777?

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 10762 and 10777 is 115982074.

LCM(10762,10777) = 115982074

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Least Common Multiple of 10762 and 10777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10762 and 10777, than apply into the LCM equation.

GCF(10762,10777) = 1
LCM(10762,10777) = ( 10762 × 10777) / 1
LCM(10762,10777) = 115982074 / 1
LCM(10762,10777) = 115982074

Least Common Multiple (LCM) of 10762 and 10777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10762 and 10777. First we will calculate the prime factors of 10762 and 10777.

Prime Factorization of 10762

Prime factors of 10762 are 2, 5381. Prime factorization of 10762 in exponential form is:

10762 = 21 × 53811

Prime Factorization of 10777

Prime factors of 10777 are 13, 829. Prime factorization of 10777 in exponential form is:

10777 = 131 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 10762 and 10777.

LCM(10762,10777) = 21 × 53811 × 131 × 8291
LCM(10762,10777) = 115982074