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What is the Least Common Multiple of 6913 and 6930?

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 6913 and 6930 is 47907090.

LCM(6913,6930) = 47907090

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Least Common Multiple of 6913 and 6930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6913 and 6930, than apply into the LCM equation.

GCF(6913,6930) = 1
LCM(6913,6930) = ( 6913 × 6930) / 1
LCM(6913,6930) = 47907090 / 1
LCM(6913,6930) = 47907090

Least Common Multiple (LCM) of 6913 and 6930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6913 and 6930. First we will calculate the prime factors of 6913 and 6930.

Prime Factorization of 6913

Prime factors of 6913 are 31, 223. Prime factorization of 6913 in exponential form is:

6913 = 311 × 2231

Prime Factorization of 6930

Prime factors of 6930 are 2, 3, 5, 7, 11. Prime factorization of 6930 in exponential form is:

6930 = 21 × 32 × 51 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 6913 and 6930.

LCM(6913,6930) = 311 × 2231 × 21 × 32 × 51 × 71 × 111
LCM(6913,6930) = 47907090