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What is the Least Common Multiple of 5698 and 5708?

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 5698 and 5708 is 16262092.

LCM(5698,5708) = 16262092

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Least Common Multiple of 5698 and 5708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5698 and 5708, than apply into the LCM equation.

GCF(5698,5708) = 2
LCM(5698,5708) = ( 5698 × 5708) / 2
LCM(5698,5708) = 32524184 / 2
LCM(5698,5708) = 16262092

Least Common Multiple (LCM) of 5698 and 5708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5698 and 5708. First we will calculate the prime factors of 5698 and 5708.

Prime Factorization of 5698

Prime factors of 5698 are 2, 7, 11, 37. Prime factorization of 5698 in exponential form is:

5698 = 21 × 71 × 111 × 371

Prime Factorization of 5708

Prime factors of 5708 are 2, 1427. Prime factorization of 5708 in exponential form is:

5708 = 22 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 5698 and 5708.

LCM(5698,5708) = 22 × 71 × 111 × 371 × 14271
LCM(5698,5708) = 16262092