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What is the Least Common Multiple of 60520 and 60529?

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 60520 and 60529 is 3663215080.

LCM(60520,60529) = 3663215080

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Least Common Multiple of 60520 and 60529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60520 and 60529, than apply into the LCM equation.

GCF(60520,60529) = 1
LCM(60520,60529) = ( 60520 × 60529) / 1
LCM(60520,60529) = 3663215080 / 1
LCM(60520,60529) = 3663215080

Least Common Multiple (LCM) of 60520 and 60529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60520 and 60529. First we will calculate the prime factors of 60520 and 60529.

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

Prime Factorization of 60529

Prime factors of 60529 are 7, 8647. Prime factorization of 60529 in exponential form is:

60529 = 71 × 86471

Now multiplying the highest exponent prime factors to calculate the LCM of 60520 and 60529.

LCM(60520,60529) = 23 × 51 × 171 × 891 × 71 × 86471
LCM(60520,60529) = 3663215080