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What is the Least Common Multiple of 60897 and 60910?

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 60897 and 60910 is 3709236270.

LCM(60897,60910) = 3709236270

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Least Common Multiple of 60897 and 60910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60897 and 60910, than apply into the LCM equation.

GCF(60897,60910) = 1
LCM(60897,60910) = ( 60897 × 60910) / 1
LCM(60897,60910) = 3709236270 / 1
LCM(60897,60910) = 3709236270

Least Common Multiple (LCM) of 60897 and 60910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60897 and 60910. First we will calculate the prime factors of 60897 and 60910.

Prime Factorization of 60897

Prime factors of 60897 are 3, 53, 383. Prime factorization of 60897 in exponential form is:

60897 = 31 × 531 × 3831

Prime Factorization of 60910

Prime factors of 60910 are 2, 5, 6091. Prime factorization of 60910 in exponential form is:

60910 = 21 × 51 × 60911

Now multiplying the highest exponent prime factors to calculate the LCM of 60897 and 60910.

LCM(60897,60910) = 31 × 531 × 3831 × 21 × 51 × 60911
LCM(60897,60910) = 3709236270