What is the Least Common Multiple of 29145 and 29153?

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 29145 and 29153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29145 and 29153, than apply into the LCM equation.

GCF(29145,29153) = 1
LCM(29145,29153) = ( 29145 × 29153) / 1
LCM(29145,29153) = 849664185 / 1
LCM(29145,29153) = 849664185

Least Common Multiple (LCM) of 29145 and 29153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29145 and 29153. First we will calculate the prime factors of 29145 and 29153.

Prime Factorization of 29145

Prime Factorization of 29153

Now multiplying the highest exponent prime factors to calculate the LCM of 29145 and 29153.

LCM(29145,29153) = 3¹ × 5¹ × 29¹ × 67¹ × 29153¹
LCM(29145,29153) = 849664185