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What is the Least Common Multiple of 10820 and 10835?

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 10820 and 10835 is 23446940.

LCM(10820,10835) = 23446940

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Least Common Multiple of 10820 and 10835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10820 and 10835, than apply into the LCM equation.

GCF(10820,10835) = 5
LCM(10820,10835) = ( 10820 × 10835) / 5
LCM(10820,10835) = 117234700 / 5
LCM(10820,10835) = 23446940

Least Common Multiple (LCM) of 10820 and 10835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10820 and 10835. First we will calculate the prime factors of 10820 and 10835.

Prime Factorization of 10820

Prime factors of 10820 are 2, 5, 541. Prime factorization of 10820 in exponential form is:

10820 = 22 × 51 × 5411

Prime Factorization of 10835

Prime factors of 10835 are 5, 11, 197. Prime factorization of 10835 in exponential form is:

10835 = 51 × 111 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 10820 and 10835.

LCM(10820,10835) = 22 × 51 × 5411 × 111 × 1971
LCM(10820,10835) = 23446940