What is the Least Common Multiple of 44180 and 44191?
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 44180 and 44191 is 1952358380.
LCM(44180,44191) = 1952358380
Least Common Multiple of 44180 and 44191 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44180 and 44191, than apply into the LCM equation.
GCF(44180,44191) = 1
LCM(44180,44191) = ( 44180 × 44191) / 1
LCM(44180,44191) = 1952358380 / 1
LCM(44180,44191) = 1952358380
Least Common Multiple (LCM) of 44180 and 44191 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44180 and 44191. First we will calculate the prime factors of 44180 and 44191.
Prime Factorization of 44180
Prime factors of 44180 are 2, 5, 47. Prime factorization of 44180 in exponential form is:
44180 = 22 × 51 × 472
Prime Factorization of 44191
Prime factors of 44191 are 7, 59, 107. Prime factorization of 44191 in exponential form is:
44191 = 71 × 591 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 44180 and 44191.
LCM(44180,44191) = 22 × 51 × 472 × 71 × 591 × 1071
LCM(44180,44191) = 1952358380
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