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
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
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