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What is the Least Common Multiple of 6989 and 7001?

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 6989 and 7001 is 48929989.

LCM(6989,7001) = 48929989

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Least Common Multiple of 6989 and 7001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6989 and 7001, than apply into the LCM equation.

GCF(6989,7001) = 1
LCM(6989,7001) = ( 6989 × 7001) / 1
LCM(6989,7001) = 48929989 / 1
LCM(6989,7001) = 48929989

Least Common Multiple (LCM) of 6989 and 7001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6989 and 7001. First we will calculate the prime factors of 6989 and 7001.

Prime Factorization of 6989

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

6989 = 291 × 2411

Prime Factorization of 7001

Prime factors of 7001 are 7001. Prime factorization of 7001 in exponential form is:

7001 = 70011

Now multiplying the highest exponent prime factors to calculate the LCM of 6989 and 7001.

LCM(6989,7001) = 291 × 2411 × 70011
LCM(6989,7001) = 48929989