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What is the Least Common Multiple of 10783 and 10802?

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 10783 and 10802 is 116477966.

LCM(10783,10802) = 116477966

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Least Common Multiple of 10783 and 10802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10783 and 10802, than apply into the LCM equation.

GCF(10783,10802) = 1
LCM(10783,10802) = ( 10783 × 10802) / 1
LCM(10783,10802) = 116477966 / 1
LCM(10783,10802) = 116477966

Least Common Multiple (LCM) of 10783 and 10802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10783 and 10802. First we will calculate the prime factors of 10783 and 10802.

Prime Factorization of 10783

Prime factors of 10783 are 41, 263. Prime factorization of 10783 in exponential form is:

10783 = 411 × 2631

Prime Factorization of 10802

Prime factors of 10802 are 2, 11, 491. Prime factorization of 10802 in exponential form is:

10802 = 21 × 111 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 10783 and 10802.

LCM(10783,10802) = 411 × 2631 × 21 × 111 × 4911
LCM(10783,10802) = 116477966