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What is the Least Common Multiple of 2982 and 2992?

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 2982 and 2992 is 4461072.

LCM(2982,2992) = 4461072

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Least Common Multiple of 2982 and 2992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2982 and 2992, than apply into the LCM equation.

GCF(2982,2992) = 2
LCM(2982,2992) = ( 2982 × 2992) / 2
LCM(2982,2992) = 8922144 / 2
LCM(2982,2992) = 4461072

Least Common Multiple (LCM) of 2982 and 2992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2982 and 2992. First we will calculate the prime factors of 2982 and 2992.

Prime Factorization of 2982

Prime factors of 2982 are 2, 3, 7, 71. Prime factorization of 2982 in exponential form is:

2982 = 21 × 31 × 71 × 711

Prime Factorization of 2992

Prime factors of 2992 are 2, 11, 17. Prime factorization of 2992 in exponential form is:

2992 = 24 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 2982 and 2992.

LCM(2982,2992) = 24 × 31 × 71 × 711 × 111 × 171
LCM(2982,2992) = 4461072