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What is the Least Common Multiple of 5701 and 5713?

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 5701 and 5713 is 32569813.

LCM(5701,5713) = 32569813

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Least Common Multiple of 5701 and 5713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5701 and 5713, than apply into the LCM equation.

GCF(5701,5713) = 1
LCM(5701,5713) = ( 5701 × 5713) / 1
LCM(5701,5713) = 32569813 / 1
LCM(5701,5713) = 32569813

Least Common Multiple (LCM) of 5701 and 5713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5701 and 5713. First we will calculate the prime factors of 5701 and 5713.

Prime Factorization of 5701

Prime factors of 5701 are 5701. Prime factorization of 5701 in exponential form is:

5701 = 57011

Prime Factorization of 5713

Prime factors of 5713 are 29, 197. Prime factorization of 5713 in exponential form is:

5713 = 291 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 5701 and 5713.

LCM(5701,5713) = 57011 × 291 × 1971
LCM(5701,5713) = 32569813