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What is the Least Common Multiple of 10821 and 10840?

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 10821 and 10840 is 117299640.

LCM(10821,10840) = 117299640

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Least Common Multiple of 10821 and 10840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10821 and 10840, than apply into the LCM equation.

GCF(10821,10840) = 1
LCM(10821,10840) = ( 10821 × 10840) / 1
LCM(10821,10840) = 117299640 / 1
LCM(10821,10840) = 117299640

Least Common Multiple (LCM) of 10821 and 10840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10821 and 10840. First we will calculate the prime factors of 10821 and 10840.

Prime Factorization of 10821

Prime factors of 10821 are 3, 3607. Prime factorization of 10821 in exponential form is:

10821 = 31 × 36071

Prime Factorization of 10840

Prime factors of 10840 are 2, 5, 271. Prime factorization of 10840 in exponential form is:

10840 = 23 × 51 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 10821 and 10840.

LCM(10821,10840) = 31 × 36071 × 23 × 51 × 2711
LCM(10821,10840) = 117299640