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What is the Least Common Multiple of 36958 and 36962?

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 36958 and 36962 is 683020798.

LCM(36958,36962) = 683020798

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Least Common Multiple of 36958 and 36962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36958 and 36962, than apply into the LCM equation.

GCF(36958,36962) = 2
LCM(36958,36962) = ( 36958 × 36962) / 2
LCM(36958,36962) = 1366041596 / 2
LCM(36958,36962) = 683020798

Least Common Multiple (LCM) of 36958 and 36962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36958 and 36962. First we will calculate the prime factors of 36958 and 36962.

Prime Factorization of 36958

Prime factors of 36958 are 2, 17, 1087. Prime factorization of 36958 in exponential form is:

36958 = 21 × 171 × 10871

Prime Factorization of 36962

Prime factors of 36962 are 2, 18481. Prime factorization of 36962 in exponential form is:

36962 = 21 × 184811

Now multiplying the highest exponent prime factors to calculate the LCM of 36958 and 36962.

LCM(36958,36962) = 21 × 171 × 10871 × 184811
LCM(36958,36962) = 683020798