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What is the Least Common Multiple of 53603 and 53610?

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 53603 and 53610 is 2873656830.

LCM(53603,53610) = 2873656830

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Least Common Multiple of 53603 and 53610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53603 and 53610, than apply into the LCM equation.

GCF(53603,53610) = 1
LCM(53603,53610) = ( 53603 × 53610) / 1
LCM(53603,53610) = 2873656830 / 1
LCM(53603,53610) = 2873656830

Least Common Multiple (LCM) of 53603 and 53610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53603 and 53610. First we will calculate the prime factors of 53603 and 53610.

Prime Factorization of 53603

Prime factors of 53603 are 11, 443. Prime factorization of 53603 in exponential form is:

53603 = 112 × 4431

Prime Factorization of 53610

Prime factors of 53610 are 2, 3, 5, 1787. Prime factorization of 53610 in exponential form is:

53610 = 21 × 31 × 51 × 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 53603 and 53610.

LCM(53603,53610) = 112 × 4431 × 21 × 31 × 51 × 17871
LCM(53603,53610) = 2873656830