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What is the Least Common Multiple of 52592 and 52610?

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 52592 and 52610 is 1383432560.

LCM(52592,52610) = 1383432560

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Least Common Multiple of 52592 and 52610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52592 and 52610, than apply into the LCM equation.

GCF(52592,52610) = 2
LCM(52592,52610) = ( 52592 × 52610) / 2
LCM(52592,52610) = 2766865120 / 2
LCM(52592,52610) = 1383432560

Least Common Multiple (LCM) of 52592 and 52610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52592 and 52610. First we will calculate the prime factors of 52592 and 52610.

Prime Factorization of 52592

Prime factors of 52592 are 2, 19, 173. Prime factorization of 52592 in exponential form is:

52592 = 24 × 191 × 1731

Prime Factorization of 52610

Prime factors of 52610 are 2, 5, 5261. Prime factorization of 52610 in exponential form is:

52610 = 21 × 51 × 52611

Now multiplying the highest exponent prime factors to calculate the LCM of 52592 and 52610.

LCM(52592,52610) = 24 × 191 × 1731 × 51 × 52611
LCM(52592,52610) = 1383432560