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What is the Least Common Multiple of 45511 and 45528?

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 45511 and 45528 is 2072024808.

LCM(45511,45528) = 2072024808

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Least Common Multiple of 45511 and 45528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45511 and 45528, than apply into the LCM equation.

GCF(45511,45528) = 1
LCM(45511,45528) = ( 45511 × 45528) / 1
LCM(45511,45528) = 2072024808 / 1
LCM(45511,45528) = 2072024808

Least Common Multiple (LCM) of 45511 and 45528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45511 and 45528. First we will calculate the prime factors of 45511 and 45528.

Prime Factorization of 45511

Prime factors of 45511 are 71, 641. Prime factorization of 45511 in exponential form is:

45511 = 711 × 6411

Prime Factorization of 45528

Prime factors of 45528 are 2, 3, 7, 271. Prime factorization of 45528 in exponential form is:

45528 = 23 × 31 × 71 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 45511 and 45528.

LCM(45511,45528) = 711 × 6411 × 23 × 31 × 71 × 2711
LCM(45511,45528) = 2072024808