What is the Least Common Multiple of 34461 and 34480?

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 34461 and 34480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34461 and 34480, than apply into the LCM equation.

GCF(34461,34480) = 1
LCM(34461,34480) = ( 34461 × 34480) / 1
LCM(34461,34480) = 1188215280 / 1
LCM(34461,34480) = 1188215280

Least Common Multiple (LCM) of 34461 and 34480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34461 and 34480. First we will calculate the prime factors of 34461 and 34480.

Prime Factorization of 34461

Prime Factorization of 34480

Now multiplying the highest exponent prime factors to calculate the LCM of 34461 and 34480.

LCM(34461,34480) = 3² × 7¹ × 547¹ × 2⁴ × 5¹ × 431¹
LCM(34461,34480) = 1188215280