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What is the Least Common Multiple of 10969 and 10975?

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 10969 and 10975 is 120384775.

LCM(10969,10975) = 120384775

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Least Common Multiple of 10969 and 10975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10969 and 10975, than apply into the LCM equation.

GCF(10969,10975) = 1
LCM(10969,10975) = ( 10969 × 10975) / 1
LCM(10969,10975) = 120384775 / 1
LCM(10969,10975) = 120384775

Least Common Multiple (LCM) of 10969 and 10975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10969 and 10975. First we will calculate the prime factors of 10969 and 10975.

Prime Factorization of 10969

Prime factors of 10969 are 7, 1567. Prime factorization of 10969 in exponential form is:

10969 = 71 × 15671

Prime Factorization of 10975

Prime factors of 10975 are 5, 439. Prime factorization of 10975 in exponential form is:

10975 = 52 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 10969 and 10975.

LCM(10969,10975) = 71 × 15671 × 52 × 4391
LCM(10969,10975) = 120384775