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What is the Least Common Multiple of 5325 and 5341?

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 5325 and 5341 is 28440825.

LCM(5325,5341) = 28440825

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Least Common Multiple of 5325 and 5341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5325 and 5341, than apply into the LCM equation.

GCF(5325,5341) = 1
LCM(5325,5341) = ( 5325 × 5341) / 1
LCM(5325,5341) = 28440825 / 1
LCM(5325,5341) = 28440825

Least Common Multiple (LCM) of 5325 and 5341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5325 and 5341. First we will calculate the prime factors of 5325 and 5341.

Prime Factorization of 5325

Prime factors of 5325 are 3, 5, 71. Prime factorization of 5325 in exponential form is:

5325 = 31 × 52 × 711

Prime Factorization of 5341

Prime factors of 5341 are 7, 109. Prime factorization of 5341 in exponential form is:

5341 = 72 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5325 and 5341.

LCM(5325,5341) = 31 × 52 × 711 × 72 × 1091
LCM(5325,5341) = 28440825