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What is the Least Common Multiple of 6820 and 6832?

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 6820 and 6832 is 11648560.

LCM(6820,6832) = 11648560

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Least Common Multiple of 6820 and 6832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6820 and 6832, than apply into the LCM equation.

GCF(6820,6832) = 4
LCM(6820,6832) = ( 6820 × 6832) / 4
LCM(6820,6832) = 46594240 / 4
LCM(6820,6832) = 11648560

Least Common Multiple (LCM) of 6820 and 6832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6820 and 6832. First we will calculate the prime factors of 6820 and 6832.

Prime Factorization of 6820

Prime factors of 6820 are 2, 5, 11, 31. Prime factorization of 6820 in exponential form is:

6820 = 22 × 51 × 111 × 311

Prime Factorization of 6832

Prime factors of 6832 are 2, 7, 61. Prime factorization of 6832 in exponential form is:

6832 = 24 × 71 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 6820 and 6832.

LCM(6820,6832) = 24 × 51 × 111 × 311 × 71 × 611
LCM(6820,6832) = 11648560