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What is the Least Common Multiple of 2982 and 2990?

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 2990 is 4458090.

LCM(2982,2990) = 4458090

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Least Common Multiple of 2982 and 2990 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 2990, than apply into the LCM equation.

GCF(2982,2990) = 2
LCM(2982,2990) = ( 2982 × 2990) / 2
LCM(2982,2990) = 8916180 / 2
LCM(2982,2990) = 4458090

Least Common Multiple (LCM) of 2982 and 2990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2982 and 2990. First we will calculate the prime factors of 2982 and 2990.

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 2990

Prime factors of 2990 are 2, 5, 13, 23. Prime factorization of 2990 in exponential form is:

2990 = 21 × 51 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 2982 and 2990.

LCM(2982,2990) = 21 × 31 × 71 × 711 × 51 × 131 × 231
LCM(2982,2990) = 4458090