What is the Least Common Multiple of 60226 and 60242?
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 60226 and 60242 is 1814067346.
LCM(60226,60242) = 1814067346
Least Common Multiple of 60226 and 60242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60226 and 60242, than apply into the LCM equation.
GCF(60226,60242) = 2
LCM(60226,60242) = ( 60226 × 60242) / 2
LCM(60226,60242) = 3628134692 / 2
LCM(60226,60242) = 1814067346
Least Common Multiple (LCM) of 60226 and 60242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60226 and 60242. First we will calculate the prime factors of 60226 and 60242.
Prime Factorization of 60226
Prime factors of 60226 are 2, 30113. Prime factorization of 60226 in exponential form is:
60226 = 21 × 301131
Prime Factorization of 60242
Prime factors of 60242 are 2, 7, 13, 331. Prime factorization of 60242 in exponential form is:
60242 = 21 × 71 × 131 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 60226 and 60242.
LCM(60226,60242) = 21 × 301131 × 71 × 131 × 3311
LCM(60226,60242) = 1814067346
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