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What is the Least Common Multiple of 60521 and 60525?

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 60521 and 60525 is 3663033525.

LCM(60521,60525) = 3663033525

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Least Common Multiple of 60521 and 60525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60521 and 60525, than apply into the LCM equation.

GCF(60521,60525) = 1
LCM(60521,60525) = ( 60521 × 60525) / 1
LCM(60521,60525) = 3663033525 / 1
LCM(60521,60525) = 3663033525

Least Common Multiple (LCM) of 60521 and 60525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60521 and 60525. First we will calculate the prime factors of 60521 and 60525.

Prime Factorization of 60521

Prime factors of 60521 are 60521. Prime factorization of 60521 in exponential form is:

60521 = 605211

Prime Factorization of 60525

Prime factors of 60525 are 3, 5, 269. Prime factorization of 60525 in exponential form is:

60525 = 32 × 52 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 60521 and 60525.

LCM(60521,60525) = 605211 × 32 × 52 × 2691
LCM(60521,60525) = 3663033525