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What is the Least Common Multiple of 890 and 899?

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 890 and 899 is 800110.

LCM(890,899) = 800110

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Least Common Multiple of 890 and 899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 890 and 899, than apply into the LCM equation.

GCF(890,899) = 1
LCM(890,899) = ( 890 × 899) / 1
LCM(890,899) = 800110 / 1
LCM(890,899) = 800110

Least Common Multiple (LCM) of 890 and 899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 890 and 899. First we will calculate the prime factors of 890 and 899.

Prime Factorization of 890

Prime factors of 890 are 2, 5, 89. Prime factorization of 890 in exponential form is:

890 = 21 × 51 × 891

Prime Factorization of 899

Prime factors of 899 are 29, 31. Prime factorization of 899 in exponential form is:

899 = 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 890 and 899.

LCM(890,899) = 21 × 51 × 891 × 291 × 311
LCM(890,899) = 800110