What is the Least Common Multiple of 29570 and 29590?

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 29570 and 29590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29570 and 29590, than apply into the LCM equation.

GCF(29570,29590) = 10
LCM(29570,29590) = ( 29570 × 29590) / 10
LCM(29570,29590) = 874976300 / 10
LCM(29570,29590) = 87497630

Least Common Multiple (LCM) of 29570 and 29590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29570 and 29590. First we will calculate the prime factors of 29570 and 29590.

Prime Factorization of 29570

Prime Factorization of 29590

Now multiplying the highest exponent prime factors to calculate the LCM of 29570 and 29590.

LCM(29570,29590) = 2¹ × 5¹ × 2957¹ × 11¹ × 269¹
LCM(29570,29590) = 87497630