What is the Least Common Multiple of 44522 and 44526?
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 44522 and 44526 is 991193286.
LCM(44522,44526) = 991193286
Least Common Multiple of 44522 and 44526 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44522 and 44526, than apply into the LCM equation.
GCF(44522,44526) = 2
LCM(44522,44526) = ( 44522 × 44526) / 2
LCM(44522,44526) = 1982386572 / 2
LCM(44522,44526) = 991193286
Least Common Multiple (LCM) of 44522 and 44526 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44522 and 44526. First we will calculate the prime factors of 44522 and 44526.
Prime Factorization of 44522
Prime factors of 44522 are 2, 113, 197. Prime factorization of 44522 in exponential form is:
44522 = 21 × 1131 × 1971
Prime Factorization of 44526
Prime factors of 44526 are 2, 3, 41, 181. Prime factorization of 44526 in exponential form is:
44526 = 21 × 31 × 411 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 44522 and 44526.
LCM(44522,44526) = 21 × 1131 × 1971 × 31 × 411 × 1811
LCM(44522,44526) = 991193286
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