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What is the Least Common Multiple of 2653 and 2658?

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 2653 and 2658 is 7051674.

LCM(2653,2658) = 7051674

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Least Common Multiple of 2653 and 2658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2653 and 2658, than apply into the LCM equation.

GCF(2653,2658) = 1
LCM(2653,2658) = ( 2653 × 2658) / 1
LCM(2653,2658) = 7051674 / 1
LCM(2653,2658) = 7051674

Least Common Multiple (LCM) of 2653 and 2658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2653 and 2658. First we will calculate the prime factors of 2653 and 2658.

Prime Factorization of 2653

Prime factors of 2653 are 7, 379. Prime factorization of 2653 in exponential form is:

2653 = 71 × 3791

Prime Factorization of 2658

Prime factors of 2658 are 2, 3, 443. Prime factorization of 2658 in exponential form is:

2658 = 21 × 31 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 2653 and 2658.

LCM(2653,2658) = 71 × 3791 × 21 × 31 × 4431
LCM(2653,2658) = 7051674