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What is the Least Common Multiple of 2645 and 2664?

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 2645 and 2664 is 7046280.

LCM(2645,2664) = 7046280

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Least Common Multiple of 2645 and 2664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2645 and 2664, than apply into the LCM equation.

GCF(2645,2664) = 1
LCM(2645,2664) = ( 2645 × 2664) / 1
LCM(2645,2664) = 7046280 / 1
LCM(2645,2664) = 7046280

Least Common Multiple (LCM) of 2645 and 2664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2645 and 2664. First we will calculate the prime factors of 2645 and 2664.

Prime Factorization of 2645

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

2645 = 51 × 232

Prime Factorization of 2664

Prime factors of 2664 are 2, 3, 37. Prime factorization of 2664 in exponential form is:

2664 = 23 × 32 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 2645 and 2664.

LCM(2645,2664) = 51 × 232 × 23 × 32 × 371
LCM(2645,2664) = 7046280