What is the Least Common Multiple of 70232 and 70241?
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 70232 and 70241 is 4933165912.
LCM(70232,70241) = 4933165912
Least Common Multiple of 70232 and 70241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70232 and 70241, than apply into the LCM equation.
GCF(70232,70241) = 1
LCM(70232,70241) = ( 70232 × 70241) / 1
LCM(70232,70241) = 4933165912 / 1
LCM(70232,70241) = 4933165912
Least Common Multiple (LCM) of 70232 and 70241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70232 and 70241. First we will calculate the prime factors of 70232 and 70241.
Prime Factorization of 70232
Prime factors of 70232 are 2, 8779. Prime factorization of 70232 in exponential form is:
70232 = 23 × 87791
Prime Factorization of 70241
Prime factors of 70241 are 70241. Prime factorization of 70241 in exponential form is:
70241 = 702411
Now multiplying the highest exponent prime factors to calculate the LCM of 70232 and 70241.
LCM(70232,70241) = 23 × 87791 × 702411
LCM(70232,70241) = 4933165912
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