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What is the Least Common Multiple of 45495 and 45513?

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 45495 and 45513 is 230068215.

LCM(45495,45513) = 230068215

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Least Common Multiple of 45495 and 45513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45495 and 45513, than apply into the LCM equation.

GCF(45495,45513) = 9
LCM(45495,45513) = ( 45495 × 45513) / 9
LCM(45495,45513) = 2070613935 / 9
LCM(45495,45513) = 230068215

Least Common Multiple (LCM) of 45495 and 45513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45495 and 45513. First we will calculate the prime factors of 45495 and 45513.

Prime Factorization of 45495

Prime factors of 45495 are 3, 5, 337. Prime factorization of 45495 in exponential form is:

45495 = 33 × 51 × 3371

Prime Factorization of 45513

Prime factors of 45513 are 3, 13, 389. Prime factorization of 45513 in exponential form is:

45513 = 32 × 131 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 45495 and 45513.

LCM(45495,45513) = 33 × 51 × 3371 × 131 × 3891
LCM(45495,45513) = 230068215