What is the Least Common Multiple of 44211 and 44226?
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 44211 and 44226 is 651758562.
LCM(44211,44226) = 651758562
Least Common Multiple of 44211 and 44226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44211 and 44226, than apply into the LCM equation.
GCF(44211,44226) = 3
LCM(44211,44226) = ( 44211 × 44226) / 3
LCM(44211,44226) = 1955275686 / 3
LCM(44211,44226) = 651758562
Least Common Multiple (LCM) of 44211 and 44226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44211 and 44226. First we will calculate the prime factors of 44211 and 44226.
Prime Factorization of 44211
Prime factors of 44211 are 3, 14737. Prime factorization of 44211 in exponential form is:
44211 = 31 × 147371
Prime Factorization of 44226
Prime factors of 44226 are 2, 3, 7, 13. Prime factorization of 44226 in exponential form is:
44226 = 21 × 35 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 44211 and 44226.
LCM(44211,44226) = 35 × 147371 × 21 × 71 × 131
LCM(44211,44226) = 651758562
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