What is the Least Common Multiple of 29546 and 29566?

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 29546 and 29566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29546 and 29566, than apply into the LCM equation.

GCF(29546,29566) = 2
LCM(29546,29566) = ( 29546 × 29566) / 2
LCM(29546,29566) = 873557036 / 2
LCM(29546,29566) = 436778518

Least Common Multiple (LCM) of 29546 and 29566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29546 and 29566. First we will calculate the prime factors of 29546 and 29566.

Prime Factorization of 29546

Prime Factorization of 29566

Now multiplying the highest exponent prime factors to calculate the LCM of 29546 and 29566.

LCM(29546,29566) = 2¹ × 11¹ × 17¹ × 79¹ × 14783¹
LCM(29546,29566) = 436778518