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What is the Least Common Multiple of 60523 and 60528?

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 60523 and 60528 is 3663336144.

LCM(60523,60528) = 3663336144

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Least Common Multiple of 60523 and 60528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60523 and 60528, than apply into the LCM equation.

GCF(60523,60528) = 1
LCM(60523,60528) = ( 60523 × 60528) / 1
LCM(60523,60528) = 3663336144 / 1
LCM(60523,60528) = 3663336144

Least Common Multiple (LCM) of 60523 and 60528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60523 and 60528. First we will calculate the prime factors of 60523 and 60528.

Prime Factorization of 60523

Prime factors of 60523 are 29, 2087. Prime factorization of 60523 in exponential form is:

60523 = 291 × 20871

Prime Factorization of 60528

Prime factors of 60528 are 2, 3, 13, 97. Prime factorization of 60528 in exponential form is:

60528 = 24 × 31 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 60523 and 60528.

LCM(60523,60528) = 291 × 20871 × 24 × 31 × 131 × 971
LCM(60523,60528) = 3663336144