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What is the Least Common Multiple of 10976 and 10984?

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 10976 and 10984 is 15070048.

LCM(10976,10984) = 15070048

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Least Common Multiple of 10976 and 10984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10976 and 10984, than apply into the LCM equation.

GCF(10976,10984) = 8
LCM(10976,10984) = ( 10976 × 10984) / 8
LCM(10976,10984) = 120560384 / 8
LCM(10976,10984) = 15070048

Least Common Multiple (LCM) of 10976 and 10984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10976 and 10984. First we will calculate the prime factors of 10976 and 10984.

Prime Factorization of 10976

Prime factors of 10976 are 2, 7. Prime factorization of 10976 in exponential form is:

10976 = 25 × 73

Prime Factorization of 10984

Prime factors of 10984 are 2, 1373. Prime factorization of 10984 in exponential form is:

10984 = 23 × 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 10976 and 10984.

LCM(10976,10984) = 25 × 73 × 13731
LCM(10976,10984) = 15070048