What is the Least Common Multiple of 29545 and 29565?

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 29545 and 29565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29545 and 29565, than apply into the LCM equation.

GCF(29545,29565) = 5
LCM(29545,29565) = ( 29545 × 29565) / 5
LCM(29545,29565) = 873497925 / 5
LCM(29545,29565) = 174699585

Least Common Multiple (LCM) of 29545 and 29565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29545 and 29565. First we will calculate the prime factors of 29545 and 29565.

Prime Factorization of 29545

Prime Factorization of 29565

Now multiplying the highest exponent prime factors to calculate the LCM of 29545 and 29565.

LCM(29545,29565) = 5¹ × 19¹ × 311¹ × 3⁴ × 73¹
LCM(29545,29565) = 174699585