What is the Least Common Multiple of 70897 and 70910?
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 70897 and 70910 is 5027306270.
LCM(70897,70910) = 5027306270
Least Common Multiple of 70897 and 70910 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70897 and 70910, than apply into the LCM equation.
GCF(70897,70910) = 1
LCM(70897,70910) = ( 70897 × 70910) / 1
LCM(70897,70910) = 5027306270 / 1
LCM(70897,70910) = 5027306270
Least Common Multiple (LCM) of 70897 and 70910 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70897 and 70910. First we will calculate the prime factors of 70897 and 70910.
Prime Factorization of 70897
Prime factors of 70897 are 31, 2287. Prime factorization of 70897 in exponential form is:
70897 = 311 × 22871
Prime Factorization of 70910
Prime factors of 70910 are 2, 5, 7, 1013. Prime factorization of 70910 in exponential form is:
70910 = 21 × 51 × 71 × 10131
Now multiplying the highest exponent prime factors to calculate the LCM of 70897 and 70910.
LCM(70897,70910) = 311 × 22871 × 21 × 51 × 71 × 10131
LCM(70897,70910) = 5027306270
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