What is the Least Common Multiple of 60917 and 60921?
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 60917 and 60921 is 3711124557.
LCM(60917,60921) = 3711124557
Least Common Multiple of 60917 and 60921 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60917 and 60921, than apply into the LCM equation.
GCF(60917,60921) = 1
LCM(60917,60921) = ( 60917 × 60921) / 1
LCM(60917,60921) = 3711124557 / 1
LCM(60917,60921) = 3711124557
Least Common Multiple (LCM) of 60917 and 60921 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60917 and 60921. First we will calculate the prime factors of 60917 and 60921.
Prime Factorization of 60917
Prime factors of 60917 are 60917. Prime factorization of 60917 in exponential form is:
60917 = 609171
Prime Factorization of 60921
Prime factors of 60921 are 3, 7, 967. Prime factorization of 60921 in exponential form is:
60921 = 32 × 71 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 60917 and 60921.
LCM(60917,60921) = 609171 × 32 × 71 × 9671
LCM(60917,60921) = 3711124557
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