What is the Least Common Multiple of 44431 and 44435?
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 44431 and 44435 is 1974291485.
LCM(44431,44435) = 1974291485
Least Common Multiple of 44431 and 44435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44431 and 44435, than apply into the LCM equation.
GCF(44431,44435) = 1
LCM(44431,44435) = ( 44431 × 44435) / 1
LCM(44431,44435) = 1974291485 / 1
LCM(44431,44435) = 1974291485
Least Common Multiple (LCM) of 44431 and 44435 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44431 and 44435. First we will calculate the prime factors of 44431 and 44435.
Prime Factorization of 44431
Prime factors of 44431 are 157, 283. Prime factorization of 44431 in exponential form is:
44431 = 1571 × 2831
Prime Factorization of 44435
Prime factors of 44435 are 5, 8887. Prime factorization of 44435 in exponential form is:
44435 = 51 × 88871
Now multiplying the highest exponent prime factors to calculate the LCM of 44431 and 44435.
LCM(44431,44435) = 1571 × 2831 × 51 × 88871
LCM(44431,44435) = 1974291485
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