What is the Least Common Multiple of 29538 and 29546?

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 29538 and 29546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29538 and 29546, than apply into the LCM equation.

GCF(29538,29546) = 2
LCM(29538,29546) = ( 29538 × 29546) / 2
LCM(29538,29546) = 872729748 / 2
LCM(29538,29546) = 436364874

Least Common Multiple (LCM) of 29538 and 29546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29538 and 29546. First we will calculate the prime factors of 29538 and 29546.

Prime Factorization of 29538

Prime Factorization of 29546

Now multiplying the highest exponent prime factors to calculate the LCM of 29538 and 29546.

LCM(29538,29546) = 2¹ × 3³ × 547¹ × 11¹ × 17¹ × 79¹
LCM(29538,29546) = 436364874