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What is the Least Common Multiple of 60181 and 60200?

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 60181 and 60200 is 3622896200.

LCM(60181,60200) = 3622896200

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Least Common Multiple of 60181 and 60200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60181 and 60200, than apply into the LCM equation.

GCF(60181,60200) = 1
LCM(60181,60200) = ( 60181 × 60200) / 1
LCM(60181,60200) = 3622896200 / 1
LCM(60181,60200) = 3622896200

Least Common Multiple (LCM) of 60181 and 60200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60181 and 60200. First we will calculate the prime factors of 60181 and 60200.

Prime Factorization of 60181

Prime factors of 60181 are 11, 5471. Prime factorization of 60181 in exponential form is:

60181 = 111 × 54711

Prime Factorization of 60200

Prime factors of 60200 are 2, 5, 7, 43. Prime factorization of 60200 in exponential form is:

60200 = 23 × 52 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 60181 and 60200.

LCM(60181,60200) = 111 × 54711 × 23 × 52 × 71 × 431
LCM(60181,60200) = 3622896200