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What is the Least Common Multiple of 30958 and 30965?

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 30958 and 30965 is 958614470.

LCM(30958,30965) = 958614470

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Least Common Multiple of 30958 and 30965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30958 and 30965, than apply into the LCM equation.

GCF(30958,30965) = 1
LCM(30958,30965) = ( 30958 × 30965) / 1
LCM(30958,30965) = 958614470 / 1
LCM(30958,30965) = 958614470

Least Common Multiple (LCM) of 30958 and 30965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30958 and 30965. First we will calculate the prime factors of 30958 and 30965.

Prime Factorization of 30958

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

30958 = 21 × 231 × 6731

Prime Factorization of 30965

Prime factors of 30965 are 5, 11, 563. Prime factorization of 30965 in exponential form is:

30965 = 51 × 111 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 30958 and 30965.

LCM(30958,30965) = 21 × 231 × 6731 × 51 × 111 × 5631
LCM(30958,30965) = 958614470