What is the Least Common Multiple of 34480 and 34485?

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 34480 and 34485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34480 and 34485, than apply into the LCM equation.

GCF(34480,34485) = 5
LCM(34480,34485) = ( 34480 × 34485) / 5
LCM(34480,34485) = 1189042800 / 5
LCM(34480,34485) = 237808560

Least Common Multiple (LCM) of 34480 and 34485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34480 and 34485. First we will calculate the prime factors of 34480 and 34485.

Prime Factorization of 34480

Prime Factorization of 34485

Now multiplying the highest exponent prime factors to calculate the LCM of 34480 and 34485.

LCM(34480,34485) = 2⁴ × 5¹ × 431¹ × 3¹ × 11² × 19¹
LCM(34480,34485) = 237808560