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What is the Least Common Multiple of 10712 and 10722?

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 10712 and 10722 is 57427032.

LCM(10712,10722) = 57427032

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Least Common Multiple of 10712 and 10722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10712 and 10722, than apply into the LCM equation.

GCF(10712,10722) = 2
LCM(10712,10722) = ( 10712 × 10722) / 2
LCM(10712,10722) = 114854064 / 2
LCM(10712,10722) = 57427032

Least Common Multiple (LCM) of 10712 and 10722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10712 and 10722. First we will calculate the prime factors of 10712 and 10722.

Prime Factorization of 10712

Prime factors of 10712 are 2, 13, 103. Prime factorization of 10712 in exponential form is:

10712 = 23 × 131 × 1031

Prime Factorization of 10722

Prime factors of 10722 are 2, 3, 1787. Prime factorization of 10722 in exponential form is:

10722 = 21 × 31 × 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 10712 and 10722.

LCM(10712,10722) = 23 × 131 × 1031 × 31 × 17871
LCM(10712,10722) = 57427032