What is the Least Common Multiple of 60893 and 60898?
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 60893 and 60898 is 3708261914.
LCM(60893,60898) = 3708261914
Least Common Multiple of 60893 and 60898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60893 and 60898, than apply into the LCM equation.
GCF(60893,60898) = 1
LCM(60893,60898) = ( 60893 × 60898) / 1
LCM(60893,60898) = 3708261914 / 1
LCM(60893,60898) = 3708261914
Least Common Multiple (LCM) of 60893 and 60898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60893 and 60898. First we will calculate the prime factors of 60893 and 60898.
Prime Factorization of 60893
Prime factors of 60893 are 7, 8699. Prime factorization of 60893 in exponential form is:
60893 = 71 × 86991
Prime Factorization of 60898
Prime factors of 60898 are 2, 30449. Prime factorization of 60898 in exponential form is:
60898 = 21 × 304491
Now multiplying the highest exponent prime factors to calculate the LCM of 60893 and 60898.
LCM(60893,60898) = 71 × 86991 × 21 × 304491
LCM(60893,60898) = 3708261914
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