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What is the Least Common Multiple of 6930 and 6945?

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 6930 and 6945 is 3208590.

LCM(6930,6945) = 3208590

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Least Common Multiple of 6930 and 6945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6930 and 6945, than apply into the LCM equation.

GCF(6930,6945) = 15
LCM(6930,6945) = ( 6930 × 6945) / 15
LCM(6930,6945) = 48128850 / 15
LCM(6930,6945) = 3208590

Least Common Multiple (LCM) of 6930 and 6945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6930 and 6945. First we will calculate the prime factors of 6930 and 6945.

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

Prime Factorization of 6945

Prime factors of 6945 are 3, 5, 463. Prime factorization of 6945 in exponential form is:

6945 = 31 × 51 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 6930 and 6945.

LCM(6930,6945) = 21 × 32 × 51 × 71 × 111 × 4631
LCM(6930,6945) = 3208590