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What is the Least Common Multiple of 53527 and 53533?

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 53527 and 53533 is 2865460891.

LCM(53527,53533) = 2865460891

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Least Common Multiple of 53527 and 53533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53527 and 53533, than apply into the LCM equation.

GCF(53527,53533) = 1
LCM(53527,53533) = ( 53527 × 53533) / 1
LCM(53527,53533) = 2865460891 / 1
LCM(53527,53533) = 2865460891

Least Common Multiple (LCM) of 53527 and 53533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53527 and 53533. First we will calculate the prime factors of 53527 and 53533.

Prime Factorization of 53527

Prime factors of 53527 are 53527. Prime factorization of 53527 in exponential form is:

53527 = 535271

Prime Factorization of 53533

Prime factors of 53533 are 17, 47, 67. Prime factorization of 53533 in exponential form is:

53533 = 171 × 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 53527 and 53533.

LCM(53527,53533) = 535271 × 171 × 471 × 671
LCM(53527,53533) = 2865460891