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What is the Least Common Multiple of 6985 and 6990?

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 6985 and 6990 is 9765030.

LCM(6985,6990) = 9765030

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Least Common Multiple of 6985 and 6990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6985 and 6990, than apply into the LCM equation.

GCF(6985,6990) = 5
LCM(6985,6990) = ( 6985 × 6990) / 5
LCM(6985,6990) = 48825150 / 5
LCM(6985,6990) = 9765030

Least Common Multiple (LCM) of 6985 and 6990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6985 and 6990. First we will calculate the prime factors of 6985 and 6990.

Prime Factorization of 6985

Prime factors of 6985 are 5, 11, 127. Prime factorization of 6985 in exponential form is:

6985 = 51 × 111 × 1271

Prime Factorization of 6990

Prime factors of 6990 are 2, 3, 5, 233. Prime factorization of 6990 in exponential form is:

6990 = 21 × 31 × 51 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 6985 and 6990.

LCM(6985,6990) = 51 × 111 × 1271 × 21 × 31 × 2331
LCM(6985,6990) = 9765030