What is the Least Common Multiple of 50621 and 50626?
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 50621 and 50626 is 2562738746.
LCM(50621,50626) = 2562738746
Least Common Multiple of 50621 and 50626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50621 and 50626, than apply into the LCM equation.
GCF(50621,50626) = 1
LCM(50621,50626) = ( 50621 × 50626) / 1
LCM(50621,50626) = 2562738746 / 1
LCM(50621,50626) = 2562738746
Least Common Multiple (LCM) of 50621 and 50626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50621 and 50626. First we will calculate the prime factors of 50621 and 50626.
Prime Factorization of 50621
Prime factors of 50621 are 223, 227. Prime factorization of 50621 in exponential form is:
50621 = 2231 × 2271
Prime Factorization of 50626
Prime factors of 50626 are 2, 17, 1489. Prime factorization of 50626 in exponential form is:
50626 = 21 × 171 × 14891
Now multiplying the highest exponent prime factors to calculate the LCM of 50621 and 50626.
LCM(50621,50626) = 2231 × 2271 × 21 × 171 × 14891
LCM(50621,50626) = 2562738746
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