What is the Least Common Multiple of 34455 and 34465?

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 34455 and 34465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34455 and 34465, than apply into the LCM equation.

GCF(34455,34465) = 5
LCM(34455,34465) = ( 34455 × 34465) / 5
LCM(34455,34465) = 1187491575 / 5
LCM(34455,34465) = 237498315

Least Common Multiple (LCM) of 34455 and 34465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34455 and 34465. First we will calculate the prime factors of 34455 and 34465.

Prime Factorization of 34455

Prime Factorization of 34465

Now multiplying the highest exponent prime factors to calculate the LCM of 34455 and 34465.

LCM(34455,34465) = 3¹ × 5¹ × 2297¹ × 61¹ × 113¹
LCM(34455,34465) = 237498315