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What is the Least Common Multiple of 60502 and 60520?

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 60502 and 60520 is 1830790520.

LCM(60502,60520) = 1830790520

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Least Common Multiple of 60502 and 60520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60502 and 60520, than apply into the LCM equation.

GCF(60502,60520) = 2
LCM(60502,60520) = ( 60502 × 60520) / 2
LCM(60502,60520) = 3661581040 / 2
LCM(60502,60520) = 1830790520

Least Common Multiple (LCM) of 60502 and 60520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60502 and 60520. First we will calculate the prime factors of 60502 and 60520.

Prime Factorization of 60502

Prime factors of 60502 are 2, 13, 179. Prime factorization of 60502 in exponential form is:

60502 = 21 × 132 × 1791

Prime Factorization of 60520

Prime factors of 60520 are 2, 5, 17, 89. Prime factorization of 60520 in exponential form is:

60520 = 23 × 51 × 171 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 60502 and 60520.

LCM(60502,60520) = 23 × 132 × 1791 × 51 × 171 × 891
LCM(60502,60520) = 1830790520