What is the Least Common Multiple of 50636 and 50641?
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 50636 and 50641 is 2564257676.
LCM(50636,50641) = 2564257676
Least Common Multiple of 50636 and 50641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50636 and 50641, than apply into the LCM equation.
GCF(50636,50641) = 1
LCM(50636,50641) = ( 50636 × 50641) / 1
LCM(50636,50641) = 2564257676 / 1
LCM(50636,50641) = 2564257676
Least Common Multiple (LCM) of 50636 and 50641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50636 and 50641. First we will calculate the prime factors of 50636 and 50641.
Prime Factorization of 50636
Prime factors of 50636 are 2, 12659. Prime factorization of 50636 in exponential form is:
50636 = 22 × 126591
Prime Factorization of 50641
Prime factors of 50641 are 89, 569. Prime factorization of 50641 in exponential form is:
50641 = 891 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 50636 and 50641.
LCM(50636,50641) = 22 × 126591 × 891 × 5691
LCM(50636,50641) = 2564257676
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