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What is the Least Common Multiple of 30968 and 30986?

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 30968 and 30986 is 479787224.

LCM(30968,30986) = 479787224

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Least Common Multiple of 30968 and 30986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30968 and 30986, than apply into the LCM equation.

GCF(30968,30986) = 2
LCM(30968,30986) = ( 30968 × 30986) / 2
LCM(30968,30986) = 959574448 / 2
LCM(30968,30986) = 479787224

Least Common Multiple (LCM) of 30968 and 30986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30968 and 30986. First we will calculate the prime factors of 30968 and 30986.

Prime Factorization of 30968

Prime factors of 30968 are 2, 7, 79. Prime factorization of 30968 in exponential form is:

30968 = 23 × 72 × 791

Prime Factorization of 30986

Prime factors of 30986 are 2, 15493. Prime factorization of 30986 in exponential form is:

30986 = 21 × 154931

Now multiplying the highest exponent prime factors to calculate the LCM of 30968 and 30986.

LCM(30968,30986) = 23 × 72 × 791 × 154931
LCM(30968,30986) = 479787224