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What is the Least Common Multiple of 60897 and 60907?

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 60907 is 3709053579.

LCM(60897,60907) = 3709053579

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Least Common Multiple of 60897 and 60907 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 60907, than apply into the LCM equation.

GCF(60897,60907) = 1
LCM(60897,60907) = ( 60897 × 60907) / 1
LCM(60897,60907) = 3709053579 / 1
LCM(60897,60907) = 3709053579

Least Common Multiple (LCM) of 60897 and 60907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60897 and 60907. First we will calculate the prime factors of 60897 and 60907.

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 60907

Prime factors of 60907 are 7, 11, 113. Prime factorization of 60907 in exponential form is:

60907 = 72 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 60897 and 60907.

LCM(60897,60907) = 31 × 531 × 3831 × 72 × 111 × 1131
LCM(60897,60907) = 3709053579