What is the Least Common Multiple of 29588 and 29595?

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 29588 and 29595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29588 and 29595, than apply into the LCM equation.

GCF(29588,29595) = 1
LCM(29588,29595) = ( 29588 × 29595) / 1
LCM(29588,29595) = 875656860 / 1
LCM(29588,29595) = 875656860

Least Common Multiple (LCM) of 29588 and 29595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29588 and 29595. First we will calculate the prime factors of 29588 and 29595.

Prime Factorization of 29588

Prime Factorization of 29595

Now multiplying the highest exponent prime factors to calculate the LCM of 29588 and 29595.

LCM(29588,29595) = 2² × 13¹ × 569¹ × 3¹ × 5¹ × 1973¹
LCM(29588,29595) = 875656860