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What is the Least Common Multiple of 85800 and 85813?

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 85800 and 85813 is 566365800.

LCM(85800,85813) = 566365800

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Least Common Multiple of 85800 and 85813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85800 and 85813, than apply into the LCM equation.

GCF(85800,85813) = 13
LCM(85800,85813) = ( 85800 × 85813) / 13
LCM(85800,85813) = 7362755400 / 13
LCM(85800,85813) = 566365800

Least Common Multiple (LCM) of 85800 and 85813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85800 and 85813. First we will calculate the prime factors of 85800 and 85813.

Prime Factorization of 85800

Prime factors of 85800 are 2, 3, 5, 11, 13. Prime factorization of 85800 in exponential form is:

85800 = 23 × 31 × 52 × 111 × 131

Prime Factorization of 85813

Prime factors of 85813 are 7, 13, 23, 41. Prime factorization of 85813 in exponential form is:

85813 = 71 × 131 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 85800 and 85813.

LCM(85800,85813) = 23 × 31 × 52 × 111 × 131 × 71 × 231 × 411
LCM(85800,85813) = 566365800

Related Least Common Multiples of 85800

Related Least Common Multiples of 85813