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What is the Least Common Multiple of 60935 and 60944?

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 60944 is 3713622640.

LCM(60935,60944) = 3713622640

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Least Common Multiple of 60935 and 60944 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 60944, than apply into the LCM equation.

GCF(60935,60944) = 1
LCM(60935,60944) = ( 60935 × 60944) / 1
LCM(60935,60944) = 3713622640 / 1
LCM(60935,60944) = 3713622640

Least Common Multiple (LCM) of 60935 and 60944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60935 and 60944. First we will calculate the prime factors of 60935 and 60944.

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 60944

Prime factors of 60944 are 2, 13, 293. Prime factorization of 60944 in exponential form is:

60944 = 24 × 131 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 60935 and 60944.

LCM(60935,60944) = 51 × 71 × 17411 × 24 × 131 × 2931
LCM(60935,60944) = 3713622640