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What is the Least Common Multiple of 58967 and 58979?

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 58967 and 58979 is 3477814693.

LCM(58967,58979) = 3477814693

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Least Common Multiple of 58967 and 58979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58967 and 58979, than apply into the LCM equation.

GCF(58967,58979) = 1
LCM(58967,58979) = ( 58967 × 58979) / 1
LCM(58967,58979) = 3477814693 / 1
LCM(58967,58979) = 3477814693

Least Common Multiple (LCM) of 58967 and 58979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58967 and 58979. First we will calculate the prime factors of 58967 and 58979.

Prime Factorization of 58967

Prime factors of 58967 are 58967. Prime factorization of 58967 in exponential form is:

58967 = 589671

Prime Factorization of 58979

Prime factors of 58979 are 58979. Prime factorization of 58979 in exponential form is:

58979 = 589791

Now multiplying the highest exponent prime factors to calculate the LCM of 58967 and 58979.

LCM(58967,58979) = 589671 × 589791
LCM(58967,58979) = 3477814693