What is the Least Common Multiple of 29469 and 29480?

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 29469 and 29480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29469 and 29480, than apply into the LCM equation.

GCF(29469,29480) = 11
LCM(29469,29480) = ( 29469 × 29480) / 11
LCM(29469,29480) = 868746120 / 11
LCM(29469,29480) = 78976920

Least Common Multiple (LCM) of 29469 and 29480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29469 and 29480. First we will calculate the prime factors of 29469 and 29480.

Prime Factorization of 29469

Prime Factorization of 29480

Now multiplying the highest exponent prime factors to calculate the LCM of 29469 and 29480.

LCM(29469,29480) = 3¹ × 11¹ × 19¹ × 47¹ × 2³ × 5¹ × 67¹
LCM(29469,29480) = 78976920