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What is the Least Common Multiple of 10590 and 10598?

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 10590 and 10598 is 56116410.

LCM(10590,10598) = 56116410

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Least Common Multiple of 10590 and 10598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10590 and 10598, than apply into the LCM equation.

GCF(10590,10598) = 2
LCM(10590,10598) = ( 10590 × 10598) / 2
LCM(10590,10598) = 112232820 / 2
LCM(10590,10598) = 56116410

Least Common Multiple (LCM) of 10590 and 10598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10590 and 10598. First we will calculate the prime factors of 10590 and 10598.

Prime Factorization of 10590

Prime factors of 10590 are 2, 3, 5, 353. Prime factorization of 10590 in exponential form is:

10590 = 21 × 31 × 51 × 3531

Prime Factorization of 10598

Prime factors of 10598 are 2, 7, 757. Prime factorization of 10598 in exponential form is:

10598 = 21 × 71 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 10590 and 10598.

LCM(10590,10598) = 21 × 31 × 51 × 3531 × 71 × 7571
LCM(10590,10598) = 56116410