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What is the Least Common Multiple of 10540 and 10551?

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 10540 and 10551 is 111207540.

LCM(10540,10551) = 111207540

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Least Common Multiple of 10540 and 10551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10540 and 10551, than apply into the LCM equation.

GCF(10540,10551) = 1
LCM(10540,10551) = ( 10540 × 10551) / 1
LCM(10540,10551) = 111207540 / 1
LCM(10540,10551) = 111207540

Least Common Multiple (LCM) of 10540 and 10551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10540 and 10551. First we will calculate the prime factors of 10540 and 10551.

Prime Factorization of 10540

Prime factors of 10540 are 2, 5, 17, 31. Prime factorization of 10540 in exponential form is:

10540 = 22 × 51 × 171 × 311

Prime Factorization of 10551

Prime factors of 10551 are 3, 3517. Prime factorization of 10551 in exponential form is:

10551 = 31 × 35171

Now multiplying the highest exponent prime factors to calculate the LCM of 10540 and 10551.

LCM(10540,10551) = 22 × 51 × 171 × 311 × 31 × 35171
LCM(10540,10551) = 111207540