What is the Least Common Multiple of 44372 and 44390?
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 44372 and 44390 is 984836540.
LCM(44372,44390) = 984836540
Least Common Multiple of 44372 and 44390 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44372 and 44390, than apply into the LCM equation.
GCF(44372,44390) = 2
LCM(44372,44390) = ( 44372 × 44390) / 2
LCM(44372,44390) = 1969673080 / 2
LCM(44372,44390) = 984836540
Least Common Multiple (LCM) of 44372 and 44390 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44372 and 44390. First we will calculate the prime factors of 44372 and 44390.
Prime Factorization of 44372
Prime factors of 44372 are 2, 11093. Prime factorization of 44372 in exponential form is:
44372 = 22 × 110931
Prime Factorization of 44390
Prime factors of 44390 are 2, 5, 23, 193. Prime factorization of 44390 in exponential form is:
44390 = 21 × 51 × 231 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 44372 and 44390.
LCM(44372,44390) = 22 × 110931 × 51 × 231 × 1931
LCM(44372,44390) = 984836540
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