What is the Least Common Multiple of 43414 and 43434?

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 of 43414 and 43434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43414 and 43434, than apply into the LCM equation.

GCF(43414,43434) = 2
LCM(43414,43434) = ( 43414 × 43434) / 2
LCM(43414,43434) = 1885643676 / 2
LCM(43414,43434) = 942821838

Least Common Multiple (LCM) of 43414 and 43434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43414 and 43434. First we will calculate the prime factors of 43414 and 43434.

Prime Factorization of 43414

Prime Factorization of 43434

Now multiplying the highest exponent prime factors to calculate the LCM of 43414 and 43434.

LCM(43414,43434) = 2¹ × 7² × 443¹ × 3² × 19¹ × 127¹
LCM(43414,43434) = 942821838