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What is the Least Common Multiple of 5645 and 5656?

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 5645 and 5656 is 31928120.

LCM(5645,5656) = 31928120

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Least Common Multiple of 5645 and 5656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5645 and 5656, than apply into the LCM equation.

GCF(5645,5656) = 1
LCM(5645,5656) = ( 5645 × 5656) / 1
LCM(5645,5656) = 31928120 / 1
LCM(5645,5656) = 31928120

Least Common Multiple (LCM) of 5645 and 5656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5645 and 5656. First we will calculate the prime factors of 5645 and 5656.

Prime Factorization of 5645

Prime factors of 5645 are 5, 1129. Prime factorization of 5645 in exponential form is:

5645 = 51 × 11291

Prime Factorization of 5656

Prime factors of 5656 are 2, 7, 101. Prime factorization of 5656 in exponential form is:

5656 = 23 × 71 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5645 and 5656.

LCM(5645,5656) = 51 × 11291 × 23 × 71 × 1011
LCM(5645,5656) = 31928120