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What is the Least Common Multiple of 5698 and 5715?

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 5715 is 32564070.

LCM(5698,5715) = 32564070

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Least Common Multiple of 5698 and 5715 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 5715, than apply into the LCM equation.

GCF(5698,5715) = 1
LCM(5698,5715) = ( 5698 × 5715) / 1
LCM(5698,5715) = 32564070 / 1
LCM(5698,5715) = 32564070

Least Common Multiple (LCM) of 5698 and 5715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5698 and 5715. First we will calculate the prime factors of 5698 and 5715.

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 5715

Prime factors of 5715 are 3, 5, 127. Prime factorization of 5715 in exponential form is:

5715 = 32 × 51 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 5698 and 5715.

LCM(5698,5715) = 21 × 71 × 111 × 371 × 32 × 51 × 1271
LCM(5698,5715) = 32564070