What is the Least Common Multiple of 5105 and 5109?

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 5105 and 5109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5105 and 5109, than apply into the LCM equation.

GCF(5105,5109) = 1
LCM(5105,5109) = ( 5105 × 5109) / 1
LCM(5105,5109) = 26081445 / 1
LCM(5105,5109) = 26081445

Least Common Multiple (LCM) of 5105 and 5109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5105 and 5109. First we will calculate the prime factors of 5105 and 5109.

Prime Factorization of 5105

Prime Factorization of 5109

Now multiplying the highest exponent prime factors to calculate the LCM of 5105 and 5109.

LCM(5105,5109) = 5¹ × 1021¹ × 3¹ × 13¹ × 131¹
LCM(5105,5109) = 26081445