What is the Least Common Multiple of 40606 and 40611?
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 40606 and 40611 is 1649050266.
LCM(40606,40611) = 1649050266
Least Common Multiple of 40606 and 40611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40606 and 40611, than apply into the LCM equation.
GCF(40606,40611) = 1
LCM(40606,40611) = ( 40606 × 40611) / 1
LCM(40606,40611) = 1649050266 / 1
LCM(40606,40611) = 1649050266
Least Common Multiple (LCM) of 40606 and 40611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40606 and 40611. First we will calculate the prime factors of 40606 and 40611.
Prime Factorization of 40606
Prime factors of 40606 are 2, 79, 257. Prime factorization of 40606 in exponential form is:
40606 = 21 × 791 × 2571
Prime Factorization of 40611
Prime factors of 40611 are 3, 13537. Prime factorization of 40611 in exponential form is:
40611 = 31 × 135371
Now multiplying the highest exponent prime factors to calculate the LCM of 40606 and 40611.
LCM(40606,40611) = 21 × 791 × 2571 × 31 × 135371
LCM(40606,40611) = 1649050266
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