What is the Least Common Multiple of 3431 and 3446?
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 3431 and 3446 is 11823226.
LCM(3431,3446) = 11823226
Least Common Multiple of 3431 and 3446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3431 and 3446, than apply into the LCM equation.
GCF(3431,3446) = 1
LCM(3431,3446) = ( 3431 × 3446) / 1
LCM(3431,3446) = 11823226 / 1
LCM(3431,3446) = 11823226
Least Common Multiple (LCM) of 3431 and 3446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3431 and 3446. First we will calculate the prime factors of 3431 and 3446.
Prime Factorization of 3431
Prime factors of 3431 are 47, 73. Prime factorization of 3431 in exponential form is:
3431 = 471 × 731
Prime Factorization of 3446
Prime factors of 3446 are 2, 1723. Prime factorization of 3446 in exponential form is:
3446 = 21 × 17231
Now multiplying the highest exponent prime factors to calculate the LCM of 3431 and 3446.
LCM(3431,3446) = 471 × 731 × 21 × 17231
LCM(3431,3446) = 11823226
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