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What is the Least Common Multiple of 2632 and 2639?

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 2632 and 2639 is 992264.

LCM(2632,2639) = 992264

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Least Common Multiple of 2632 and 2639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2632 and 2639, than apply into the LCM equation.

GCF(2632,2639) = 7
LCM(2632,2639) = ( 2632 × 2639) / 7
LCM(2632,2639) = 6945848 / 7
LCM(2632,2639) = 992264

Least Common Multiple (LCM) of 2632 and 2639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2632 and 2639. First we will calculate the prime factors of 2632 and 2639.

Prime Factorization of 2632

Prime factors of 2632 are 2, 7, 47. Prime factorization of 2632 in exponential form is:

2632 = 23 × 71 × 471

Prime Factorization of 2639

Prime factors of 2639 are 7, 13, 29. Prime factorization of 2639 in exponential form is:

2639 = 71 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 2632 and 2639.

LCM(2632,2639) = 23 × 71 × 471 × 131 × 291
LCM(2632,2639) = 992264