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What is the Least Common Multiple of 60943 and 60958?

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 60943 and 60958 is 3714963394.

LCM(60943,60958) = 3714963394

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Least Common Multiple of 60943 and 60958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60943 and 60958, than apply into the LCM equation.

GCF(60943,60958) = 1
LCM(60943,60958) = ( 60943 × 60958) / 1
LCM(60943,60958) = 3714963394 / 1
LCM(60943,60958) = 3714963394

Least Common Multiple (LCM) of 60943 and 60958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60943 and 60958. First we will calculate the prime factors of 60943 and 60958.

Prime Factorization of 60943

Prime factors of 60943 are 60943. Prime factorization of 60943 in exponential form is:

60943 = 609431

Prime Factorization of 60958

Prime factors of 60958 are 2, 29, 1051. Prime factorization of 60958 in exponential form is:

60958 = 21 × 291 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 60943 and 60958.

LCM(60943,60958) = 609431 × 21 × 291 × 10511
LCM(60943,60958) = 3714963394