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What is the Least Common Multiple of 29490 and 29510?

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 29490 and 29510 is 87024990.

LCM(29490,29510) = 87024990

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Least Common Multiple of 29490 and 29510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29490 and 29510, than apply into the LCM equation.

GCF(29490,29510) = 10
LCM(29490,29510) = ( 29490 × 29510) / 10
LCM(29490,29510) = 870249900 / 10
LCM(29490,29510) = 87024990

Least Common Multiple (LCM) of 29490 and 29510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29490 and 29510. First we will calculate the prime factors of 29490 and 29510.

Prime Factorization of 29490

Prime factors of 29490 are 2, 3, 5, 983. Prime factorization of 29490 in exponential form is:

29490 = 21 × 31 × 51 × 9831

Prime Factorization of 29510

Prime factors of 29510 are 2, 5, 13, 227. Prime factorization of 29510 in exponential form is:

29510 = 21 × 51 × 131 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 29490 and 29510.

LCM(29490,29510) = 21 × 31 × 51 × 9831 × 131 × 2271
LCM(29490,29510) = 87024990