What is the Least Common Multiple of 29105 and 29109?

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 29105 and 29109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29105 and 29109, than apply into the LCM equation.

GCF(29105,29109) = 1
LCM(29105,29109) = ( 29105 × 29109) / 1
LCM(29105,29109) = 847217445 / 1
LCM(29105,29109) = 847217445

Least Common Multiple (LCM) of 29105 and 29109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29105 and 29109. First we will calculate the prime factors of 29105 and 29109.

Prime Factorization of 29105

Prime Factorization of 29109

Now multiplying the highest exponent prime factors to calculate the LCM of 29105 and 29109.

LCM(29105,29109) = 5¹ × 5821¹ × 3¹ × 31¹ × 313¹
LCM(29105,29109) = 847217445