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What is the Least Common Multiple of 6975 and 6989?

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 6975 and 6989 is 48748275.

LCM(6975,6989) = 48748275

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Least Common Multiple of 6975 and 6989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6975 and 6989, than apply into the LCM equation.

GCF(6975,6989) = 1
LCM(6975,6989) = ( 6975 × 6989) / 1
LCM(6975,6989) = 48748275 / 1
LCM(6975,6989) = 48748275

Least Common Multiple (LCM) of 6975 and 6989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6975 and 6989. First we will calculate the prime factors of 6975 and 6989.

Prime Factorization of 6975

Prime factors of 6975 are 3, 5, 31. Prime factorization of 6975 in exponential form is:

6975 = 32 × 52 × 311

Prime Factorization of 6989

Prime factors of 6989 are 29, 241. Prime factorization of 6989 in exponential form is:

6989 = 291 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 6975 and 6989.

LCM(6975,6989) = 32 × 52 × 311 × 291 × 2411
LCM(6975,6989) = 48748275