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What is the Least Common Multiple of 2990 and 3010?

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 2990 and 3010 is 899990.

LCM(2990,3010) = 899990

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Least Common Multiple of 2990 and 3010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2990 and 3010, than apply into the LCM equation.

GCF(2990,3010) = 10
LCM(2990,3010) = ( 2990 × 3010) / 10
LCM(2990,3010) = 8999900 / 10
LCM(2990,3010) = 899990

Least Common Multiple (LCM) of 2990 and 3010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2990 and 3010. First we will calculate the prime factors of 2990 and 3010.

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

Prime Factorization of 3010

Prime factors of 3010 are 2, 5, 7, 43. Prime factorization of 3010 in exponential form is:

3010 = 21 × 51 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 2990 and 3010.

LCM(2990,3010) = 21 × 51 × 131 × 231 × 71 × 431
LCM(2990,3010) = 899990