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What is the Least Common Multiple of 2635 and 2645?

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 2635 and 2645 is 1393915.

LCM(2635,2645) = 1393915

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Least Common Multiple of 2635 and 2645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2635 and 2645, than apply into the LCM equation.

GCF(2635,2645) = 5
LCM(2635,2645) = ( 2635 × 2645) / 5
LCM(2635,2645) = 6969575 / 5
LCM(2635,2645) = 1393915

Least Common Multiple (LCM) of 2635 and 2645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2635 and 2645. First we will calculate the prime factors of 2635 and 2645.

Prime Factorization of 2635

Prime factors of 2635 are 5, 17, 31. Prime factorization of 2635 in exponential form is:

2635 = 51 × 171 × 311

Prime Factorization of 2645

Prime factors of 2645 are 5, 23. Prime factorization of 2645 in exponential form is:

2645 = 51 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 2635 and 2645.

LCM(2635,2645) = 51 × 171 × 311 × 232
LCM(2635,2645) = 1393915