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What is the Least Common Multiple of 6976 and 6992?

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 6976 and 6992 is 3048512.

LCM(6976,6992) = 3048512

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Least Common Multiple of 6976 and 6992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6976 and 6992, than apply into the LCM equation.

GCF(6976,6992) = 16
LCM(6976,6992) = ( 6976 × 6992) / 16
LCM(6976,6992) = 48776192 / 16
LCM(6976,6992) = 3048512

Least Common Multiple (LCM) of 6976 and 6992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6976 and 6992. First we will calculate the prime factors of 6976 and 6992.

Prime Factorization of 6976

Prime factors of 6976 are 2, 109. Prime factorization of 6976 in exponential form is:

6976 = 26 × 1091

Prime Factorization of 6992

Prime factors of 6992 are 2, 19, 23. Prime factorization of 6992 in exponential form is:

6992 = 24 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 6976 and 6992.

LCM(6976,6992) = 26 × 1091 × 191 × 231
LCM(6976,6992) = 3048512