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What is the Least Common Multiple of 10969 and 10978?

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 10978 is 120417682.

LCM(10969,10978) = 120417682

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Least Common Multiple of 10969 and 10978 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 10978, than apply into the LCM equation.

GCF(10969,10978) = 1
LCM(10969,10978) = ( 10969 × 10978) / 1
LCM(10969,10978) = 120417682 / 1
LCM(10969,10978) = 120417682

Least Common Multiple (LCM) of 10969 and 10978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10969 and 10978. First we will calculate the prime factors of 10969 and 10978.

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 10978

Prime factors of 10978 are 2, 11, 499. Prime factorization of 10978 in exponential form is:

10978 = 21 × 111 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 10969 and 10978.

LCM(10969,10978) = 71 × 15671 × 21 × 111 × 4991
LCM(10969,10978) = 120417682