What is the Least Common Multiple of 60226 and 60243?
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 60243 is 3628194918.
LCM(60226,60243) = 3628194918
Least Common Multiple of 60226 and 60243 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 60243, than apply into the LCM equation.
GCF(60226,60243) = 1
LCM(60226,60243) = ( 60226 × 60243) / 1
LCM(60226,60243) = 3628194918 / 1
LCM(60226,60243) = 3628194918
Least Common Multiple (LCM) of 60226 and 60243 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60226 and 60243. First we will calculate the prime factors of 60226 and 60243.
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 60243
Prime factors of 60243 are 3, 43, 467. Prime factorization of 60243 in exponential form is:
60243 = 31 × 431 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 60226 and 60243.
LCM(60226,60243) = 21 × 301131 × 31 × 431 × 4671
LCM(60226,60243) = 3628194918
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