What is the Least Common Multiple of 44357 and 44373?
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 44357 and 44373 is 1968253161.
LCM(44357,44373) = 1968253161
Least Common Multiple of 44357 and 44373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44357 and 44373, than apply into the LCM equation.
GCF(44357,44373) = 1
LCM(44357,44373) = ( 44357 × 44373) / 1
LCM(44357,44373) = 1968253161 / 1
LCM(44357,44373) = 1968253161
Least Common Multiple (LCM) of 44357 and 44373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44357 and 44373. First we will calculate the prime factors of 44357 and 44373.
Prime Factorization of 44357
Prime factors of 44357 are 44357. Prime factorization of 44357 in exponential form is:
44357 = 443571
Prime Factorization of 44373
Prime factors of 44373 are 3, 7, 2113. Prime factorization of 44373 in exponential form is:
44373 = 31 × 71 × 21131
Now multiplying the highest exponent prime factors to calculate the LCM of 44357 and 44373.
LCM(44357,44373) = 443571 × 31 × 71 × 21131
LCM(44357,44373) = 1968253161
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