What is the Least Common Multiple of 69480 and 69485?

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 69480 and 69485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69480 and 69485, than apply into the LCM equation.

GCF(69480,69485) = 5
LCM(69480,69485) = ( 69480 × 69485) / 5
LCM(69480,69485) = 4827817800 / 5
LCM(69480,69485) = 965563560

Least Common Multiple (LCM) of 69480 and 69485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69480 and 69485. First we will calculate the prime factors of 69480 and 69485.

Prime Factorization of 69480

Prime Factorization of 69485

Now multiplying the highest exponent prime factors to calculate the LCM of 69480 and 69485.

LCM(69480,69485) = 2³ × 3² × 5¹ × 193¹ × 13¹ × 1069¹
LCM(69480,69485) = 965563560