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What is the Least Common Multiple of 60535 and 60544?

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 60535 and 60544 is 3665031040.

LCM(60535,60544) = 3665031040

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Least Common Multiple of 60535 and 60544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60535 and 60544, than apply into the LCM equation.

GCF(60535,60544) = 1
LCM(60535,60544) = ( 60535 × 60544) / 1
LCM(60535,60544) = 3665031040 / 1
LCM(60535,60544) = 3665031040

Least Common Multiple (LCM) of 60535 and 60544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60535 and 60544. First we will calculate the prime factors of 60535 and 60544.

Prime Factorization of 60535

Prime factors of 60535 are 5, 12107. Prime factorization of 60535 in exponential form is:

60535 = 51 × 121071

Prime Factorization of 60544

Prime factors of 60544 are 2, 11, 43. Prime factorization of 60544 in exponential form is:

60544 = 27 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 60535 and 60544.

LCM(60535,60544) = 51 × 121071 × 27 × 111 × 431
LCM(60535,60544) = 3665031040