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What is the Least Common Multiple of 6968 and 6984?

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 6968 and 6984 is 6083064.

LCM(6968,6984) = 6083064

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Least Common Multiple of 6968 and 6984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6968 and 6984, than apply into the LCM equation.

GCF(6968,6984) = 8
LCM(6968,6984) = ( 6968 × 6984) / 8
LCM(6968,6984) = 48664512 / 8
LCM(6968,6984) = 6083064

Least Common Multiple (LCM) of 6968 and 6984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6968 and 6984. First we will calculate the prime factors of 6968 and 6984.

Prime Factorization of 6968

Prime factors of 6968 are 2, 13, 67. Prime factorization of 6968 in exponential form is:

6968 = 23 × 131 × 671

Prime Factorization of 6984

Prime factors of 6984 are 2, 3, 97. Prime factorization of 6984 in exponential form is:

6984 = 23 × 32 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 6968 and 6984.

LCM(6968,6984) = 23 × 131 × 671 × 32 × 971
LCM(6968,6984) = 6083064