What is the Least Common Multiple of 71145 and 71149?

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 71145 and 71149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71145 and 71149, than apply into the LCM equation.

GCF(71145,71149) = 1
LCM(71145,71149) = ( 71145 × 71149) / 1
LCM(71145,71149) = 5061895605 / 1
LCM(71145,71149) = 5061895605

Least Common Multiple (LCM) of 71145 and 71149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71145 and 71149. First we will calculate the prime factors of 71145 and 71149.

Prime Factorization of 71145

Prime Factorization of 71149

Now multiplying the highest exponent prime factors to calculate the LCM of 71145 and 71149.

LCM(71145,71149) = 3³ × 5¹ × 17¹ × 31¹ × 13² × 421¹
LCM(71145,71149) = 5061895605