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What is the Least Common Multiple of 60935 and 60951?

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 60935 and 60951 is 3714049185.

LCM(60935,60951) = 3714049185

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Least Common Multiple of 60935 and 60951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60935 and 60951, than apply into the LCM equation.

GCF(60935,60951) = 1
LCM(60935,60951) = ( 60935 × 60951) / 1
LCM(60935,60951) = 3714049185 / 1
LCM(60935,60951) = 3714049185

Least Common Multiple (LCM) of 60935 and 60951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60935 and 60951. First we will calculate the prime factors of 60935 and 60951.

Prime Factorization of 60935

Prime factors of 60935 are 5, 7, 1741. Prime factorization of 60935 in exponential form is:

60935 = 51 × 71 × 17411

Prime Factorization of 60951

Prime factors of 60951 are 3, 11, 1847. Prime factorization of 60951 in exponential form is:

60951 = 31 × 111 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 60935 and 60951.

LCM(60935,60951) = 51 × 71 × 17411 × 31 × 111 × 18471
LCM(60935,60951) = 3714049185