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What is the Least Common Multiple of 10625 and 10642?

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 10625 and 10642 is 6651250.

LCM(10625,10642) = 6651250

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Least Common Multiple of 10625 and 10642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10625 and 10642, than apply into the LCM equation.

GCF(10625,10642) = 17
LCM(10625,10642) = ( 10625 × 10642) / 17
LCM(10625,10642) = 113071250 / 17
LCM(10625,10642) = 6651250

Least Common Multiple (LCM) of 10625 and 10642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10625 and 10642. First we will calculate the prime factors of 10625 and 10642.

Prime Factorization of 10625

Prime factors of 10625 are 5, 17. Prime factorization of 10625 in exponential form is:

10625 = 54 × 171

Prime Factorization of 10642

Prime factors of 10642 are 2, 17, 313. Prime factorization of 10642 in exponential form is:

10642 = 21 × 171 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 10625 and 10642.

LCM(10625,10642) = 54 × 171 × 21 × 3131
LCM(10625,10642) = 6651250