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What is the Least Common Multiple of 5459 and 5465?

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 5459 and 5465 is 29833435.

LCM(5459,5465) = 29833435

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Least Common Multiple of 5459 and 5465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5459 and 5465, than apply into the LCM equation.

GCF(5459,5465) = 1
LCM(5459,5465) = ( 5459 × 5465) / 1
LCM(5459,5465) = 29833435 / 1
LCM(5459,5465) = 29833435

Least Common Multiple (LCM) of 5459 and 5465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5459 and 5465. First we will calculate the prime factors of 5459 and 5465.

Prime Factorization of 5459

Prime factors of 5459 are 53, 103. Prime factorization of 5459 in exponential form is:

5459 = 531 × 1031

Prime Factorization of 5465

Prime factors of 5465 are 5, 1093. Prime factorization of 5465 in exponential form is:

5465 = 51 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 5459 and 5465.

LCM(5459,5465) = 531 × 1031 × 51 × 10931
LCM(5459,5465) = 29833435