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What is the Least Common Multiple of 6920 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 6920 and 6930 is 4795560.

LCM(6920,6930) = 4795560

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Least Common Multiple of 6920 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 6920 and 6930, than apply into the LCM equation.

GCF(6920,6930) = 10
LCM(6920,6930) = ( 6920 × 6930) / 10
LCM(6920,6930) = 47955600 / 10
LCM(6920,6930) = 4795560

Least Common Multiple (LCM) of 6920 and 6930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6920 and 6930. First we will calculate the prime factors of 6920 and 6930.

Prime Factorization of 6920

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

6920 = 23 × 51 × 1731

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 6920 and 6930.

LCM(6920,6930) = 23 × 51 × 1731 × 32 × 71 × 111
LCM(6920,6930) = 4795560