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What is the Least Common Multiple of 30954 and 30958?

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 30954 and 30958 is 479136966.

LCM(30954,30958) = 479136966

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Least Common Multiple of 30954 and 30958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30954 and 30958, than apply into the LCM equation.

GCF(30954,30958) = 2
LCM(30954,30958) = ( 30954 × 30958) / 2
LCM(30954,30958) = 958273932 / 2
LCM(30954,30958) = 479136966

Least Common Multiple (LCM) of 30954 and 30958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30954 and 30958. First we will calculate the prime factors of 30954 and 30958.

Prime Factorization of 30954

Prime factors of 30954 are 2, 3, 7, 11, 67. Prime factorization of 30954 in exponential form is:

30954 = 21 × 31 × 71 × 111 × 671

Prime Factorization of 30958

Prime factors of 30958 are 2, 23, 673. Prime factorization of 30958 in exponential form is:

30958 = 21 × 231 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 30954 and 30958.

LCM(30954,30958) = 21 × 31 × 71 × 111 × 671 × 231 × 6731
LCM(30954,30958) = 479136966