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What is the Least Common Multiple of 10700 and 10706?

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 10700 and 10706 is 57277100.

LCM(10700,10706) = 57277100

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Least Common Multiple of 10700 and 10706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10700 and 10706, than apply into the LCM equation.

GCF(10700,10706) = 2
LCM(10700,10706) = ( 10700 × 10706) / 2
LCM(10700,10706) = 114554200 / 2
LCM(10700,10706) = 57277100

Least Common Multiple (LCM) of 10700 and 10706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10700 and 10706. First we will calculate the prime factors of 10700 and 10706.

Prime Factorization of 10700

Prime factors of 10700 are 2, 5, 107. Prime factorization of 10700 in exponential form is:

10700 = 22 × 52 × 1071

Prime Factorization of 10706

Prime factors of 10706 are 2, 53, 101. Prime factorization of 10706 in exponential form is:

10706 = 21 × 531 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 10700 and 10706.

LCM(10700,10706) = 22 × 52 × 1071 × 531 × 1011
LCM(10700,10706) = 57277100