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What is the Least Common Multiple of 58292 and 58300?

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 58292 and 58300 is 849605900.

LCM(58292,58300) = 849605900

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Least Common Multiple of 58292 and 58300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58292 and 58300, than apply into the LCM equation.

GCF(58292,58300) = 4
LCM(58292,58300) = ( 58292 × 58300) / 4
LCM(58292,58300) = 3398423600 / 4
LCM(58292,58300) = 849605900

Least Common Multiple (LCM) of 58292 and 58300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58292 and 58300. First we will calculate the prime factors of 58292 and 58300.

Prime Factorization of 58292

Prime factors of 58292 are 2, 13, 19, 59. Prime factorization of 58292 in exponential form is:

58292 = 22 × 131 × 191 × 591

Prime Factorization of 58300

Prime factors of 58300 are 2, 5, 11, 53. Prime factorization of 58300 in exponential form is:

58300 = 22 × 52 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 58292 and 58300.

LCM(58292,58300) = 22 × 131 × 191 × 591 × 52 × 111 × 531
LCM(58292,58300) = 849605900

Related Least Common Multiples of 58292

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