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What is the Least Common Multiple of 60919 and 60935?

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 60919 and 60935 is 3712099265.

LCM(60919,60935) = 3712099265

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Least Common Multiple of 60919 and 60935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60919 and 60935, than apply into the LCM equation.

GCF(60919,60935) = 1
LCM(60919,60935) = ( 60919 × 60935) / 1
LCM(60919,60935) = 3712099265 / 1
LCM(60919,60935) = 3712099265

Least Common Multiple (LCM) of 60919 and 60935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60919 and 60935. First we will calculate the prime factors of 60919 and 60935.

Prime Factorization of 60919

Prime factors of 60919 are 60919. Prime factorization of 60919 in exponential form is:

60919 = 609191

Prime Factorization of 60935

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

60935 = 51 × 71 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 60919 and 60935.

LCM(60919,60935) = 609191 × 51 × 71 × 17411
LCM(60919,60935) = 3712099265