What is the Least Common Multiple of 44605 and 44611?
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 44605 and 44611 is 1989873655.
LCM(44605,44611) = 1989873655
Least Common Multiple of 44605 and 44611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44605 and 44611, than apply into the LCM equation.
GCF(44605,44611) = 1
LCM(44605,44611) = ( 44605 × 44611) / 1
LCM(44605,44611) = 1989873655 / 1
LCM(44605,44611) = 1989873655
Least Common Multiple (LCM) of 44605 and 44611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44605 and 44611. First we will calculate the prime factors of 44605 and 44611.
Prime Factorization of 44605
Prime factors of 44605 are 5, 11, 811. Prime factorization of 44605 in exponential form is:
44605 = 51 × 111 × 8111
Prime Factorization of 44611
Prime factors of 44611 are 7, 6373. Prime factorization of 44611 in exponential form is:
44611 = 71 × 63731
Now multiplying the highest exponent prime factors to calculate the LCM of 44605 and 44611.
LCM(44605,44611) = 51 × 111 × 8111 × 71 × 63731
LCM(44605,44611) = 1989873655
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