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What is the Least Common Multiple of 6938 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 6938 and 6945 is 48184410.

LCM(6938,6945) = 48184410

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Least Common Multiple of 6938 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 6938 and 6945, than apply into the LCM equation.

GCF(6938,6945) = 1
LCM(6938,6945) = ( 6938 × 6945) / 1
LCM(6938,6945) = 48184410 / 1
LCM(6938,6945) = 48184410

Least Common Multiple (LCM) of 6938 and 6945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6938 and 6945. First we will calculate the prime factors of 6938 and 6945.

Prime Factorization of 6938

Prime factors of 6938 are 2, 3469. Prime factorization of 6938 in exponential form is:

6938 = 21 × 34691

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 6938 and 6945.

LCM(6938,6945) = 21 × 34691 × 31 × 51 × 4631
LCM(6938,6945) = 48184410