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What is the Least Common Multiple of 6985 and 7002?

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 7002 is 48908970.

LCM(6985,7002) = 48908970

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Least Common Multiple of 6985 and 7002 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 7002, than apply into the LCM equation.

GCF(6985,7002) = 1
LCM(6985,7002) = ( 6985 × 7002) / 1
LCM(6985,7002) = 48908970 / 1
LCM(6985,7002) = 48908970

Least Common Multiple (LCM) of 6985 and 7002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6985 and 7002. First we will calculate the prime factors of 6985 and 7002.

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 7002

Prime factors of 7002 are 2, 3, 389. Prime factorization of 7002 in exponential form is:

7002 = 21 × 32 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 6985 and 7002.

LCM(6985,7002) = 51 × 111 × 1271 × 21 × 32 × 3891
LCM(6985,7002) = 48908970