What is the Least Common Multiple of 70606 and 70611?
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 70606 and 70611 is 4985560266.
LCM(70606,70611) = 4985560266
Least Common Multiple of 70606 and 70611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70606 and 70611, than apply into the LCM equation.
GCF(70606,70611) = 1
LCM(70606,70611) = ( 70606 × 70611) / 1
LCM(70606,70611) = 4985560266 / 1
LCM(70606,70611) = 4985560266
Least Common Multiple (LCM) of 70606 and 70611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70606 and 70611. First we will calculate the prime factors of 70606 and 70611.
Prime Factorization of 70606
Prime factors of 70606 are 2, 43, 821. Prime factorization of 70606 in exponential form is:
70606 = 21 × 431 × 8211
Prime Factorization of 70611
Prime factors of 70611 are 3, 23537. Prime factorization of 70611 in exponential form is:
70611 = 31 × 235371
Now multiplying the highest exponent prime factors to calculate the LCM of 70606 and 70611.
LCM(70606,70611) = 21 × 431 × 8211 × 31 × 235371
LCM(70606,70611) = 4985560266
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