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What is the Least Common Multiple of 60475 and 60487?

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 60475 and 60487 is 3657951325.

LCM(60475,60487) = 3657951325

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Least Common Multiple of 60475 and 60487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60475 and 60487, than apply into the LCM equation.

GCF(60475,60487) = 1
LCM(60475,60487) = ( 60475 × 60487) / 1
LCM(60475,60487) = 3657951325 / 1
LCM(60475,60487) = 3657951325

Least Common Multiple (LCM) of 60475 and 60487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60475 and 60487. First we will calculate the prime factors of 60475 and 60487.

Prime Factorization of 60475

Prime factors of 60475 are 5, 41, 59. Prime factorization of 60475 in exponential form is:

60475 = 52 × 411 × 591

Prime Factorization of 60487

Prime factors of 60487 are 7, 8641. Prime factorization of 60487 in exponential form is:

60487 = 71 × 86411

Now multiplying the highest exponent prime factors to calculate the LCM of 60475 and 60487.

LCM(60475,60487) = 52 × 411 × 591 × 71 × 86411
LCM(60475,60487) = 3657951325