What is the Least Common Multiple of 43434 and 43448?
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 43434 and 43448 is 943560216.
LCM(43434,43448) = 943560216
Least Common Multiple of 43434 and 43448 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43434 and 43448, than apply into the LCM equation.
GCF(43434,43448) = 2
LCM(43434,43448) = ( 43434 × 43448) / 2
LCM(43434,43448) = 1887120432 / 2
LCM(43434,43448) = 943560216
Least Common Multiple (LCM) of 43434 and 43448 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43434 and 43448. First we will calculate the prime factors of 43434 and 43448.
Prime Factorization of 43434
Prime factors of 43434 are 2, 3, 19, 127. Prime factorization of 43434 in exponential form is:
43434 = 21 × 32 × 191 × 1271
Prime Factorization of 43448
Prime factors of 43448 are 2, 5431. Prime factorization of 43448 in exponential form is:
43448 = 23 × 54311
Now multiplying the highest exponent prime factors to calculate the LCM of 43434 and 43448.
LCM(43434,43448) = 23 × 32 × 191 × 1271 × 54311
LCM(43434,43448) = 943560216
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