What is the Least Common Multiple of 44353 and 44371?
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 44353 and 44371 is 1967986963.
LCM(44353,44371) = 1967986963
Least Common Multiple of 44353 and 44371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44353 and 44371, than apply into the LCM equation.
GCF(44353,44371) = 1
LCM(44353,44371) = ( 44353 × 44371) / 1
LCM(44353,44371) = 1967986963 / 1
LCM(44353,44371) = 1967986963
Least Common Multiple (LCM) of 44353 and 44371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44353 and 44371. First we will calculate the prime factors of 44353 and 44371.
Prime Factorization of 44353
Prime factors of 44353 are 17, 2609. Prime factorization of 44353 in exponential form is:
44353 = 171 × 26091
Prime Factorization of 44371
Prime factors of 44371 are 44371. Prime factorization of 44371 in exponential form is:
44371 = 443711
Now multiplying the highest exponent prime factors to calculate the LCM of 44353 and 44371.
LCM(44353,44371) = 171 × 26091 × 443711
LCM(44353,44371) = 1967986963
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