What is the Least Common Multiple of 60897 and 60901?
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 60901 is 3708688197.
LCM(60897,60901) = 3708688197
Least Common Multiple of 60897 and 60901 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 60901, than apply into the LCM equation.
GCF(60897,60901) = 1
LCM(60897,60901) = ( 60897 × 60901) / 1
LCM(60897,60901) = 3708688197 / 1
LCM(60897,60901) = 3708688197
Least Common Multiple (LCM) of 60897 and 60901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60897 and 60901. First we will calculate the prime factors of 60897 and 60901.
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 60901
Prime factors of 60901 are 60901. Prime factorization of 60901 in exponential form is:
60901 = 609011
Now multiplying the highest exponent prime factors to calculate the LCM of 60897 and 60901.
LCM(60897,60901) = 31 × 531 × 3831 × 609011
LCM(60897,60901) = 3708688197
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