What is the Least Common Multiple of 60884 and 60897?
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 60884 and 60897 is 3707652948.
LCM(60884,60897) = 3707652948
Least Common Multiple of 60884 and 60897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60884 and 60897, than apply into the LCM equation.
GCF(60884,60897) = 1
LCM(60884,60897) = ( 60884 × 60897) / 1
LCM(60884,60897) = 3707652948 / 1
LCM(60884,60897) = 3707652948
Least Common Multiple (LCM) of 60884 and 60897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60884 and 60897. First we will calculate the prime factors of 60884 and 60897.
Prime Factorization of 60884
Prime factors of 60884 are 2, 31, 491. Prime factorization of 60884 in exponential form is:
60884 = 22 × 311 × 4911
Prime Factorization of 60897
Prime factors of 60897 are 3, 53, 383. Prime factorization of 60897 in exponential form is:
60897 = 31 × 531 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 60884 and 60897.
LCM(60884,60897) = 22 × 311 × 4911 × 31 × 531 × 3831
LCM(60884,60897) = 3707652948
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