What is the Least Common Multiple of 29459 and 29465?

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 29459 and 29465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29459 and 29465, than apply into the LCM equation.

GCF(29459,29465) = 1
LCM(29459,29465) = ( 29459 × 29465) / 1
LCM(29459,29465) = 868009435 / 1
LCM(29459,29465) = 868009435

Least Common Multiple (LCM) of 29459 and 29465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29459 and 29465. First we will calculate the prime factors of 29459 and 29465.

Prime Factorization of 29459

Prime Factorization of 29465

Now multiplying the highest exponent prime factors to calculate the LCM of 29459 and 29465.

LCM(29459,29465) = 89¹ × 331¹ × 5¹ × 71¹ × 83¹
LCM(29459,29465) = 868009435