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What is the Least Common Multiple of 30958 and 30962?

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 30962 is 479260798.

LCM(30958,30962) = 479260798

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Least Common Multiple of 30958 and 30962 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 30962, than apply into the LCM equation.

GCF(30958,30962) = 2
LCM(30958,30962) = ( 30958 × 30962) / 2
LCM(30958,30962) = 958521596 / 2
LCM(30958,30962) = 479260798

Least Common Multiple (LCM) of 30958 and 30962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30958 and 30962. First we will calculate the prime factors of 30958 and 30962.

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 30962

Prime factors of 30962 are 2, 113, 137. Prime factorization of 30962 in exponential form is:

30962 = 21 × 1131 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 30958 and 30962.

LCM(30958,30962) = 21 × 231 × 6731 × 1131 × 1371
LCM(30958,30962) = 479260798