What is the Least Common Multiple of 60898 and 60917?
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 60898 and 60917 is 3709723466.
LCM(60898,60917) = 3709723466
Least Common Multiple of 60898 and 60917 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60898 and 60917, than apply into the LCM equation.
GCF(60898,60917) = 1
LCM(60898,60917) = ( 60898 × 60917) / 1
LCM(60898,60917) = 3709723466 / 1
LCM(60898,60917) = 3709723466
Least Common Multiple (LCM) of 60898 and 60917 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60898 and 60917. First we will calculate the prime factors of 60898 and 60917.
Prime Factorization of 60898
Prime factors of 60898 are 2, 30449. Prime factorization of 60898 in exponential form is:
60898 = 21 × 304491
Prime Factorization of 60917
Prime factors of 60917 are 60917. Prime factorization of 60917 in exponential form is:
60917 = 609171
Now multiplying the highest exponent prime factors to calculate the LCM of 60898 and 60917.
LCM(60898,60917) = 21 × 304491 × 609171
LCM(60898,60917) = 3709723466
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