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What is the Least Common Multiple of 60506 and 60526?

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 60506 and 60526 is 1831093078.

LCM(60506,60526) = 1831093078

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Least Common Multiple of 60506 and 60526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60506 and 60526, than apply into the LCM equation.

GCF(60506,60526) = 2
LCM(60506,60526) = ( 60506 × 60526) / 2
LCM(60506,60526) = 3662186156 / 2
LCM(60506,60526) = 1831093078

Least Common Multiple (LCM) of 60506 and 60526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60506 and 60526. First we will calculate the prime factors of 60506 and 60526.

Prime Factorization of 60506

Prime factors of 60506 are 2, 30253. Prime factorization of 60506 in exponential form is:

60506 = 21 × 302531

Prime Factorization of 60526

Prime factors of 60526 are 2, 53, 571. Prime factorization of 60526 in exponential form is:

60526 = 21 × 531 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 60506 and 60526.

LCM(60506,60526) = 21 × 302531 × 531 × 5711
LCM(60506,60526) = 1831093078