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What is the Least Common Multiple of 60475 and 60482?

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 60482 is 3657648950.

LCM(60475,60482) = 3657648950

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Least Common Multiple of 60475 and 60482 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 60482, than apply into the LCM equation.

GCF(60475,60482) = 1
LCM(60475,60482) = ( 60475 × 60482) / 1
LCM(60475,60482) = 3657648950 / 1
LCM(60475,60482) = 3657648950

Least Common Multiple (LCM) of 60475 and 60482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60475 and 60482. First we will calculate the prime factors of 60475 and 60482.

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 60482

Prime factors of 60482 are 2, 30241. Prime factorization of 60482 in exponential form is:

60482 = 21 × 302411

Now multiplying the highest exponent prime factors to calculate the LCM of 60475 and 60482.

LCM(60475,60482) = 52 × 411 × 591 × 21 × 302411
LCM(60475,60482) = 3657648950