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What is the Least Common Multiple of 6905 and 6920?

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 6905 and 6920 is 9556520.

LCM(6905,6920) = 9556520

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Least Common Multiple of 6905 and 6920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6905 and 6920, than apply into the LCM equation.

GCF(6905,6920) = 5
LCM(6905,6920) = ( 6905 × 6920) / 5
LCM(6905,6920) = 47782600 / 5
LCM(6905,6920) = 9556520

Least Common Multiple (LCM) of 6905 and 6920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6905 and 6920. First we will calculate the prime factors of 6905 and 6920.

Prime Factorization of 6905

Prime factors of 6905 are 5, 1381. Prime factorization of 6905 in exponential form is:

6905 = 51 × 13811

Prime Factorization of 6920

Prime factors of 6920 are 2, 5, 173. Prime factorization of 6920 in exponential form is:

6920 = 23 × 51 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 6905 and 6920.

LCM(6905,6920) = 51 × 13811 × 23 × 1731
LCM(6905,6920) = 9556520