What is the Least Common Multiple of 60913 and 60933?
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 60913 and 60933 is 3711611829.
LCM(60913,60933) = 3711611829
Least Common Multiple of 60913 and 60933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60913 and 60933, than apply into the LCM equation.
GCF(60913,60933) = 1
LCM(60913,60933) = ( 60913 × 60933) / 1
LCM(60913,60933) = 3711611829 / 1
LCM(60913,60933) = 3711611829
Least Common Multiple (LCM) of 60913 and 60933 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60913 and 60933. First we will calculate the prime factors of 60913 and 60933.
Prime Factorization of 60913
Prime factors of 60913 are 60913. Prime factorization of 60913 in exponential form is:
60913 = 609131
Prime Factorization of 60933
Prime factors of 60933 are 3, 19, 1069. Prime factorization of 60933 in exponential form is:
60933 = 31 × 191 × 10691
Now multiplying the highest exponent prime factors to calculate the LCM of 60913 and 60933.
LCM(60913,60933) = 609131 × 31 × 191 × 10691
LCM(60913,60933) = 3711611829
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