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What is the Least Common Multiple of 60895 and 60903?

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 60895 and 60903 is 3708688185.

LCM(60895,60903) = 3708688185

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Least Common Multiple of 60895 and 60903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60895 and 60903, than apply into the LCM equation.

GCF(60895,60903) = 1
LCM(60895,60903) = ( 60895 × 60903) / 1
LCM(60895,60903) = 3708688185 / 1
LCM(60895,60903) = 3708688185

Least Common Multiple (LCM) of 60895 and 60903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60895 and 60903. First we will calculate the prime factors of 60895 and 60903.

Prime Factorization of 60895

Prime factors of 60895 are 5, 19, 641. Prime factorization of 60895 in exponential form is:

60895 = 51 × 191 × 6411

Prime Factorization of 60903

Prime factors of 60903 are 3, 67, 101. Prime factorization of 60903 in exponential form is:

60903 = 32 × 671 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 60895 and 60903.

LCM(60895,60903) = 51 × 191 × 6411 × 32 × 671 × 1011
LCM(60895,60903) = 3708688185