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What is the Least Common Multiple of 30860 and 30869?

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 30860 and 30869 is 952617340.

LCM(30860,30869) = 952617340

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Least Common Multiple of 30860 and 30869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30860 and 30869, than apply into the LCM equation.

GCF(30860,30869) = 1
LCM(30860,30869) = ( 30860 × 30869) / 1
LCM(30860,30869) = 952617340 / 1
LCM(30860,30869) = 952617340

Least Common Multiple (LCM) of 30860 and 30869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30860 and 30869. First we will calculate the prime factors of 30860 and 30869.

Prime Factorization of 30860

Prime factors of 30860 are 2, 5, 1543. Prime factorization of 30860 in exponential form is:

30860 = 22 × 51 × 15431

Prime Factorization of 30869

Prime factors of 30869 are 30869. Prime factorization of 30869 in exponential form is:

30869 = 308691

Now multiplying the highest exponent prime factors to calculate the LCM of 30860 and 30869.

LCM(30860,30869) = 22 × 51 × 15431 × 308691
LCM(30860,30869) = 952617340