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What is the Least Common Multiple of 60897 and 60902?

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 60902 is 3708749094.

LCM(60897,60902) = 3708749094

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Least Common Multiple of 60897 and 60902 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 60902, than apply into the LCM equation.

GCF(60897,60902) = 1
LCM(60897,60902) = ( 60897 × 60902) / 1
LCM(60897,60902) = 3708749094 / 1
LCM(60897,60902) = 3708749094

Least Common Multiple (LCM) of 60897 and 60902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60897 and 60902. First we will calculate the prime factors of 60897 and 60902.

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 60902

Prime factors of 60902 are 2, 37, 823. Prime factorization of 60902 in exponential form is:

60902 = 21 × 371 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 60897 and 60902.

LCM(60897,60902) = 31 × 531 × 3831 × 21 × 371 × 8231
LCM(60897,60902) = 3708749094