What is the Least Common Multiple of 29545 and 29560?

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 29560 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 29560, than apply into the LCM equation.

GCF(29545,29560) = 5
LCM(29545,29560) = ( 29545 × 29560) / 5
LCM(29545,29560) = 873350200 / 5
LCM(29545,29560) = 174670040

Least Common Multiple (LCM) of 29545 and 29560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29545 and 29560. First we will calculate the prime factors of 29545 and 29560.

Prime Factorization of 29545

Prime Factorization of 29560

Now multiplying the highest exponent prime factors to calculate the LCM of 29545 and 29560.

LCM(29545,29560) = 5¹ × 19¹ × 311¹ × 2³ × 739¹
LCM(29545,29560) = 174670040