What is the Least Common Multiple of 29049 and 29053?

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 29049 and 29053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29049 and 29053, than apply into the LCM equation.

GCF(29049,29053) = 1
LCM(29049,29053) = ( 29049 × 29053) / 1
LCM(29049,29053) = 843960597 / 1
LCM(29049,29053) = 843960597

Least Common Multiple (LCM) of 29049 and 29053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29049 and 29053. First we will calculate the prime factors of 29049 and 29053.

Prime Factorization of 29049

Prime Factorization of 29053

Now multiplying the highest exponent prime factors to calculate the LCM of 29049 and 29053.

LCM(29049,29053) = 3¹ × 23¹ × 421¹ × 17¹ × 1709¹
LCM(29049,29053) = 843960597