What is the Least Common Multiple of 44334 and 44350?
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 44334 and 44350 is 983106450.
LCM(44334,44350) = 983106450
Least Common Multiple of 44334 and 44350 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44334 and 44350, than apply into the LCM equation.
GCF(44334,44350) = 2
LCM(44334,44350) = ( 44334 × 44350) / 2
LCM(44334,44350) = 1966212900 / 2
LCM(44334,44350) = 983106450
Least Common Multiple (LCM) of 44334 and 44350 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44334 and 44350. First we will calculate the prime factors of 44334 and 44350.
Prime Factorization of 44334
Prime factors of 44334 are 2, 3, 821. Prime factorization of 44334 in exponential form is:
44334 = 21 × 33 × 8211
Prime Factorization of 44350
Prime factors of 44350 are 2, 5, 887. Prime factorization of 44350 in exponential form is:
44350 = 21 × 52 × 8871
Now multiplying the highest exponent prime factors to calculate the LCM of 44334 and 44350.
LCM(44334,44350) = 21 × 33 × 8211 × 52 × 8871
LCM(44334,44350) = 983106450
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